Q:

What is the LCM of 121 and 37?

Accepted Solution

A:
Solution: The LCM of 121 and 37 is 4477 Methods How to find the LCM of 121 and 37 using Prime Factorization One way to find the LCM of 121 and 37 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 121? What are the Factors of 37? Here is the prime factorization of 121: 1 1 2 11^2 1 1 2 And this is the prime factorization of 37: 3 7 1 37^1 3 7 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: 11, 37 1 1 2 × 3 7 1 = 4477 11^2 × 37^1 = 4477 1 1 2 × 3 7 1 = 4477 Through this we see that the LCM of 121 and 37 is 4477. How to Find the LCM of 121 and 37 by Listing Common Multiples The first step to this method of finding the Least Common Multiple of 121 and 37 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, 121 and 37: What are the Multiples of 121? What are the Multiples of 37? Let’s take a look at the first 10 multiples for each of these numbers, 121 and 37: First 10 Multiples of 121: 121, 242, 363, 484, 605, 726, 847, 968, 1089, 1210 First 10 Multiples of 37: 37, 74, 111, 148, 185, 222, 259, 296, 333, 370 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 121 and 37 are 4477, 8954, 13431. Because 4477 is the smallest, it is the least common multiple. The LCM of 121 and 37 is 4477. Find the LCM of Other Number Pairs Want more practice? Try some of these other LCM problems: What is the LCM of 111 and 58? What is the LCM of 135 and 45? What is the LCM of 39 and 144? What is the LCM of 71 and 48? What is the LCM of 16 and 6?