Q:

What is the LCM of 137 and 121?

Accepted Solution

A:
Solution: The LCM of 137 and 121 is 16577 Methods How to find the LCM of 137 and 121 using Prime Factorization One way to find the LCM of 137 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 137? What are the Factors of 121? Here is the prime factorization of 137: 13 7 1 137^1 13 7 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: 137, 11 1 1 2 × 13 7 1 = 16577 11^2 × 137^1 = 16577 1 1 2 × 13 7 1 = 16577 Through this we see that the LCM of 137 and 121 is 16577. How to Find the LCM of 137 and 121 by Listing Common Multiples The first step to this method of finding the Least Common Multiple of 137 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, 137 and 121: What are the Multiples of 137? What are the Multiples of 121? Let’s take a look at the first 10 multiples for each of these numbers, 137 and 121: First 10 Multiples of 137: 137, 274, 411, 548, 685, 822, 959, 1096, 1233, 1370 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 137 and 121 are 16577, 33154, 49731. Because 16577 is the smallest, it is the least common multiple. The LCM of 137 and 121 is 16577. Find the LCM of Other Number Pairs Want more practice? Try some of these other LCM problems: What is the LCM of 140 and 136? What is the LCM of 102 and 43? What is the LCM of 13 and 85? What is the LCM of 86 and 150? What is the LCM of 44 and 129?