Q:

What is the LCM of 79 and 113?

Accepted Solution

A:
Solution: The LCM of 79 and 113 is 8927 Methods How to find the LCM of 79 and 113 using Prime Factorization One way to find the LCM of 79 and 113 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 79? What are the Factors of 113? Here is the prime factorization of 79: 7 9 1 79^1 7 9 1 And this is the prime factorization of 113: 11 3 1 113^1 11 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: 79, 113 7 9 1 × 11 3 1 = 8927 79^1 × 113^1 = 8927 7 9 1 × 11 3 1 = 8927 Through this we see that the LCM of 79 and 113 is 8927. How to Find the LCM of 79 and 113 by Listing Common Multiples The first step to this method of finding the Least Common Multiple of 79 and 113 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, 79 and 113: What are the Multiples of 79? What are the Multiples of 113? Let’s take a look at the first 10 multiples for each of these numbers, 79 and 113: First 10 Multiples of 79: 79, 158, 237, 316, 395, 474, 553, 632, 711, 790 First 10 Multiples of 113: 113, 226, 339, 452, 565, 678, 791, 904, 1017, 1130 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 79 and 113 are 8927, 17854, 26781. Because 8927 is the smallest, it is the least common multiple. The LCM of 79 and 113 is 8927. Find the LCM of Other Number Pairs Want more practice? Try some of these other LCM problems: What is the LCM of 98 and 45? What is the LCM of 105 and 149? What is the LCM of 18 and 19? What is the LCM of 88 and 46? What is the LCM of 100 and 143?