What is the LCM of 37 and 131?

Solution: The LCM of 37 and 131 is 4847 Methods How to find the LCM of 37 and 131 using Prime Factorization One way to find the LCM of 37 and 131 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 37? What are the Factors of 131? Here is the prime factorization of 37: 3 7 1 37^1 3 7 1 And this is the prime factorization of 131: 13 1 1 131^1 13 1 1 When 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: 37, 131 3 7 1 × 13 1 1 = 4847 37^1 × 131^1 = 4847 3 7 1 × 13 1 1 = 4847 Through this we see that the LCM of 37 and 131 is 4847. How to Find the LCM of 37 and 131 by Listing Common Multiples The first step to this method of finding the Least Common Multiple of 37 and 131 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, 37 and 131: What are the Multiples of 37? What are the Multiples of 131? Let’s take a look at the first 10 multiples for each of these numbers, 37 and 131: First 10 Multiples of 37: 37, 74, 111, 148, 185, 222, 259, 296, 333, 370 First 10 Multiples of 131: 131, 262, 393, 524, 655, 786, 917, 1048, 1179, 1310 You 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 37 and 131 are 4847, 9694, 14541. Because 4847 is the smallest, it is the least common multiple. The LCM of 37 and 131 is 4847. Find the LCM of Other Number Pairs Want more practice? Try some of these other LCM problems: What is the LCM of 42 and 99? What is the LCM of 141 and 23? What is the LCM of 105 and 2? What is the LCM of 70 and 32? What is the LCM of 63 and 79?