Solution: The LCM of 131 and 71 is 9301MethodsHow to find the LCM of 131 and 71 using Prime FactorizationOne way to find the LCM of 131 and 71 is to start by comparing the prime factorization of each number. To find the prime factorization, you can follow the instructions for each number here:What are the Factors of 131?What are the Factors of 71?Here is the prime factorization of 131:1311131^11311And this is the prime factorization of 71:71171^1711When you compare the prime factorization of these two numbers, you want to look for the highest power that each prime factor is raised to. In this case, there are these prime factors to consider: 131, 71711×1311=930171^1 × 131^1 = 9301711×1311=9301Through this we see that the LCM of 131 and 71 is 9301.How to Find the LCM of 131 and 71 by Listing Common MultiplesThe first step to this method of finding the Least Common Multiple of 131 and 71 is to begin to list a few multiples for each number. If you need a refresher on how to find the multiples of these numbers, you can see the walkthroughs in the links below for each number. Let’s take a look at the multiples for each of these numbers, 131 and 71:What are the Multiples of 131?What are the Multiples of 71?Let’s take a look at the first 10 multiples for each of these numbers, 131 and 71:First 10 Multiples of 131: 131, 262, 393, 524, 655, 786, 917, 1048, 1179, 1310First 10 Multiples of 71: 71, 142, 213, 284, 355, 426, 497, 568, 639, 710You can continue to list out the multiples of these numbers as long as needed to find a match. Once you do find a match, or several matches, the smallest of these matches would be the Least Common Multiple. For instance, the first matching multiple(s) of 131 and 71 are 9301, 18602, 27903. Because 9301 is the smallest, it is the least common multiple.The LCM of 131 and 71 is 9301.Find the LCM of Other Number PairsWant more practice? Try some of these other LCM problems:What is the LCM of 22 and 78?What is the LCM of 27 and 89?What is the LCM of 1 and 133?What is the LCM of 73 and 150?What is the LCM of 14 and 61?