[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-636324-105":3,"detail-sidebar-cat-0-en-105":81,"doc-detail-636324-en":130},{"code":4,"msg":5,"data":6},0,"ok",{"site_id":7,"language":8,"slug":9,"title":10,"keywords":11,"description":12,"schema_data":13,"social_meta":74,"head_meta":76,"extra_data":78,"updated_unix":80},105,"en","least-common-multiple-sheet-3b","Least Common Multiple - Sheet 3B","","This educational resource provides a series of practice problems focused on calculating the least common multiple (LCM) of pairs of numbers using prime factorization. Each problem requires students to determine the prime factors of two numbers, express them in exponential form, and identify the resulting LCM. The document includes both the exercise worksheet and an answer key with detailed step-by-step explanations, making it an ideal tool for students learning fundamental number theory and arithmetic operations in mathematics.",{"@graph":14,"@context":73},[15,34,56],{"@type":16,"itemListElement":17},"BreadcrumbList",[18,23,27,31],{"item":19,"name":20,"@type":21,"position":22},"https://docshare.wps.com","Home","ListItem",1,{"item":24,"name":25,"@type":21,"position":26},"https://docshare.wps.com/document/","Document",2,{"item":28,"name":29,"@type":21,"position":30},"https://docshare.wps.com/document/exam/","Exam",3,{"item":32,"name":10,"@type":21,"position":33},"https://docshare.wps.com/document/least-common-multiple-sheet-3b/636324/",4,{"url":32,"name":10,"@type":35,"image":36,"author":41,"headline":10,"publisher":44,"fileFormat":47,"inLanguage":8,"description":12,"dateModified":48,"datePublished":49,"encodingFormat":47,"isAccessibleForFree":50,"interactionStatistic":51},"DigitalDocument",{"url":37,"@type":38,"width":39,"height":40},"https://docshare.wps.com/thumbnails/least-common-multiple-sheet-3b/636324.png","ImageObject",300,407,{"name":42,"@type":43},"Elsa","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-11-04","2026-10-22",true,{"@type":52,"interactionType":53,"userInteractionCount":55},"InteractionCounter",{"@type":54},"ViewAction",5,{"@type":57,"mainEntity":58},"FAQPage",[59,65,69],{"name":60,"@type":61,"acceptedAnswer":62},"How is the least common multiple of 6 and 12 calculated?","Question",{"text":63,"@type":64},"First, find the prime factorization of 6 (2 x 3) and 12 (2^2 x 3). By selecting the highest powers of each prime factor, you get 2^2 x 3, which equals 12.","Answer",{"name":66,"@type":61,"acceptedAnswer":67},"What is the method for finding the LCM of 7 and 9?",{"text":68,"@type":64},"Determine the prime factors: 7 is prime, and 9 is 3^2. Since they share no common factors, multiply them together (3^2 x 7) to find the LCM, which is 63.",{"name":70,"@type":61,"acceptedAnswer":71},"Why is the LCM of 12 and 8 equal to 24?",{"text":72,"@type":64},"The prime factorization of 12 is 2^2 x 3, and for 8 it is 2^3. Taking the highest power of each factor (2^3 and 3), we calculate 8 x 3 to reach 24.","https://schema.org",{"og:url":32,"og:type":75,"og:title":10,"og:site_name":45,"og:description":12},"article",{"robots":77,"canonical":32},"index,follow",{"doc_id":79,"site_id":7},636324,1792958265,{"code":4,"msg":82,"data":83},"success",[84,88,92,95,99,104,109,114,119,122,126],{"id":22,"doc_module":4,"doc_module_name":25,"category_name":85,"show_sort_weight":86,"slug":87},"Story & Novel",90,"story-novel",{"id":26,"doc_module":4,"doc_module_name":25,"category_name":89,"show_sort_weight":90,"slug":91},"Literature",80,"literature",{"id":33,"doc_module":4,"doc_module_name":25,"category_name":29,"show_sort_weight":93,"slug":94},70,"exam",{"id":55,"doc_module":4,"doc_module_name":25,"category_name":96,"show_sort_weight":97,"slug":98},"Comic",60,"comic",{"id":100,"doc_module":4,"doc_module_name":25,"category_name":101,"show_sort_weight":102,"slug":103},6,"Technology",50,"technology",{"id":105,"doc_module":4,"doc_module_name":25,"category_name":106,"show_sort_weight":107,"slug":108},7,"Healthcare",40,"healthcare",{"id":110,"doc_module":4,"doc_module_name":25,"category_name":111,"show_sort_weight":112,"slug":113},8,"Research & Report",30,"research-report",{"id":115,"doc_module":4,"doc_module_name":25,"category_name":116,"show_sort_weight":117,"slug":118},9,"Religion & Spirituality",20,"religion-spirituality",{"id":117,"doc_module":4,"doc_module_name":25,"category_name":120,"show_sort_weight":117,"slug":121},"World Cup","world-cup",{"id":123,"doc_module":4,"doc_module_name":25,"category_name":124,"show_sort_weight":123,"slug":125},10,"Lifestyle","lifestyle",{"id":127,"doc_module":4,"doc_module_name":25,"category_name":128,"show_sort_weight":55,"slug":129},19,"General","general",{"code":4,"msg":82,"data":131},{"doc_id":79,"user_id":132,"nickname":42,"user_avatar":133,"doc_module":4,"category_id":33,"category_name":29,"doc_title":10,"doc_description":12,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":55,"is_deleted":4,"is_public":22,"is_downloadable":22,"audit_status":22,"page_count":26,"language":139,"language_code":8,"site_id":7,"html_lang":8,"table_of_contents":140,"faqs":141,"seo_title":142,"seo_description":12,"update_tm":143,"read_time":55},137455077381,"https://ap-avatar.wpscdn.com/davatar_994ba38a5ba835b3df7d355c54d3ed8d","Name Date  \nLEAST COMMON MULTIPLE SHEET 3B  \nFor each problem below, write out the prime factorization of each number to find the LCM.  \n1) Find the least common multiple of 6 and 12.  \nPrime Factorization of 6:   Prime Factorization of 12:   List of prime factors (exponential form):   →    \nThe least common multiple is    \n2) Find the least common multiple of 7 and 9.  \nPrime Factorization of 7:   Prime Factorization of 9:   List of prime factors (exponential form):   →    \nThe least common multiple is    \n3) Find the least common multiple of 12 and 8.  \nPrime Factorization of 12:   Prime Factorization of 8:    \nList of prime factors (exponential form):   →    \nThe least common multiple is    \n4) Find the least common multiple of 10 and 15.  \nPrime Factorization of 10:   Prime Factorization of 15:   List of prime factors (exponential form):   →    \nThe least common multiple is    \nName Date  \nLEAST COMMON MULTIPLE SHEET 3B ANSWERS  \n1) Find the least common multiple of 6 and 12.  \nPrime Factorization of 6: 2 x 3 Prime Factorization of 12: 2 x 2 x 3 = 22 x 3  \nList of prime factors (exponential form): 22, ~~2~~, 3, ~~3~~ → 22, 3  \nThe least common multiple is 22 x 3 = 2 x 2 x 3 = 12  \n2) Find the least common multiple of 7 and 9.  \nPrime Factorization of 7: 7 (it is prime) Prime Factorization of 9: 3 x 3 = 32 List of prime factors (exponential form): 32, 7 → 32, 7 (no canceling)  \nThe least common multiple is 32 x 7 = 3 x 3 x 7 = 63  \n3) Find the least common multiple of 12 and 8.  \nPrime Factorization of 12: 2 x 2 x 3 = 22 x 3 Prime Factorization of 8: 2 x 2 x 2 = 23  \nList of prime factors (exponential form): 23, ~~22~~, 3 → 23, 3  \nThe least common multiple is 23 x 3 = 2 x 2 x 2 x 3 = 24  \n4) Find the least common multiple of 10 and 15.  \nPrime Factorization of 10: 2 x 5 Prime Factorization of 15: 3 x 5 List of prime factors (exponential form): 2, 3, 5, ~~5~~ → 2, 3, 5  \nThe least common multiple is 2 x 3 x 5 = 30","cbCaivqGNVLjDdnT","https://ap.wps.com/l/cbCaivqGNVLjDdnT","pdf",204452,"English","# Least Common Multiple Sheet 3B Exercises\n## Problem 1: LCM of 6 and 12\n## Problem 2: LCM of 7 and 9\n## Problem 3: LCM of 12 and 8\n## Problem 4: LCM of 10 and 15\n# Least Common Multiple Sheet 3B Answers","[{\"question\":\"How is the least common multiple of 6 and 12 calculated?\",\"answer\":\"First, find the prime factorization of 6 (2 x 3) and 12 (2^2 x 3). By selecting the highest powers of each prime factor, you get 2^2 x 3, which equals 12.\"},{\"question\":\"What is the method for finding the LCM of 7 and 9?\",\"answer\":\"Determine the prime factors: 7 is prime, and 9 is 3^2. Since they share no common factors, multiply them together (3^2 x 7) to find the LCM, which is 63.\"},{\"question\":\"Why is the LCM of 12 and 8 equal to 24?\",\"answer\":\"The prime factorization of 12 is 2^2 x 3, and for 8 it is 2^3. Taking the highest power of each factor (2^3 and 3), we calculate 8 x 3 to reach 24.\"}]","Least Common Multiple - Sheet 3B | PDF",1792677988]