What is the LCM of 131 and 121?

Solution: The LCM of 131 and 121 is 15851 Methods How to find the LCM of 131 and 121 using Prime Factorization One way to find the LCM of 131 and 121 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 121? Here is the prime factorization of 131: 13 1 1 131^1 13 1 1 And this is the prime factorization of 121: 1 1 2 11^2 1 1 2 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: 131, 11 1 1 2 × 13 1 1 = 15851 11^2 × 131^1 = 15851 1 1 2 × 13 1 1 = 15851 Through this we see that the LCM of 131 and 121 is 15851. How to Find the LCM of 131 and 121 by Listing Common Multiples The first step to this method of finding the Least Common Multiple of 131 and 121 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 121: What are the Multiples of 131? What are the Multiples of 121? Let’s take a look at the first 10 multiples for each of these numbers, 131 and 121: First 10 Multiples of 131: 131, 262, 393, 524, 655, 786, 917, 1048, 1179, 1310 First 10 Multiples of 121: 121, 242, 363, 484, 605, 726, 847, 968, 1089, 1210 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 131 and 121 are 15851, 31702, 47553. Because 15851 is the smallest, it is the least common multiple. The LCM of 131 and 121 is 15851. Find the LCM of Other Number Pairs Want more practice? Try some of these other LCM problems: What is the LCM of 85 and 138? What is the LCM of 80 and 30? What is the LCM of 66 and 57? What is the LCM of 148 and 65? What is the LCM of 70 and 60?