Solution: The LCM of 71 and 44 is 3124MethodsHow to find the LCM of 71 and 44 using Prime FactorizationOne way to find the LCM of 71 and 44 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 71?What are the Factors of 44?Here is the prime factorization of 71:71171^1711And this is the prime factorization of 44:22×1112^2 × 11^122×111When 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: 71, 2, 1122×111×711=31242^2 × 11^1 × 71^1 = 312422×111×711=3124Through this we see that the LCM of 71 and 44 is 3124.How to Find the LCM of 71 and 44 by Listing Common MultiplesThe first step to this method of finding the Least Common Multiple of 71 and 44 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, 71 and 44:What are the Multiples of 71?What are the Multiples of 44?Let’s take a look at the first 10 multiples for each of these numbers, 71 and 44:First 10 Multiples of 71: 71, 142, 213, 284, 355, 426, 497, 568, 639, 710First 10 Multiples of 44: 44, 88, 132, 176, 220, 264, 308, 352, 396, 440You 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 71 and 44 are 3124, 6248, 9372. Because 3124 is the smallest, it is the least common multiple.The LCM of 71 and 44 is 3124.Find the LCM of Other Number PairsWant more practice? Try some of these other LCM problems:What is the LCM of 137 and 35?What is the LCM of 77 and 133?What is the LCM of 74 and 3?What is the LCM of 121 and 42?What is the LCM of 111 and 41?