Q:

What is the LCM of 121 and 92?

Accepted Solution

A:
Solution: The LCM of 121 and 92 is 11132 Methods How to find the LCM of 121 and 92 using Prime Factorization One way to find the LCM of 121 and 92 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 92? Here is the prime factorization of 121: 1 1 2 11^2 1 1 2 And this is the prime factorization of 92: 2 2 × 2 3 1 2^2 × 23^1 2 2 × 2 3 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, 2, 23 2 2 × 1 1 2 × 2 3 1 = 11132 2^2 × 11^2 × 23^1 = 11132 2 2 × 1 1 2 × 2 3 1 = 11132 Through this we see that the LCM of 121 and 92 is 11132. How to Find the LCM of 121 and 92 by Listing Common Multiples The first step to this method of finding the Least Common Multiple of 121 and 92 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 92: What are the Multiples of 121? What are the Multiples of 92? Let’s take a look at the first 10 multiples for each of these numbers, 121 and 92: First 10 Multiples of 121: 121, 242, 363, 484, 605, 726, 847, 968, 1089, 1210 First 10 Multiples of 92: 92, 184, 276, 368, 460, 552, 644, 736, 828, 920 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 92 are 11132, 22264, 33396. Because 11132 is the smallest, it is the least common multiple. The LCM of 121 and 92 is 11132. Find the LCM of Other Number Pairs Want more practice? Try some of these other LCM problems: What is the LCM of 67 and 111? What is the LCM of 109 and 102? What is the LCM of 46 and 33? What is the LCM of 31 and 9? What is the LCM of 8 and 48?