Q:

What is the LCM of 149 and 59?

Accepted Solution

A:
Solution: The LCM of 149 and 59 is 8791 Methods How to find the LCM of 149 and 59 using Prime Factorization One way to find the LCM of 149 and 59 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 149? What are the Factors of 59? Here is the prime factorization of 149: 14 9 1 149^1 14 9 1 And this is the prime factorization of 59: 5 9 1 59^1 5 9 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: 149, 59 5 9 1 × 14 9 1 = 8791 59^1 × 149^1 = 8791 5 9 1 × 14 9 1 = 8791 Through this we see that the LCM of 149 and 59 is 8791. How to Find the LCM of 149 and 59 by Listing Common Multiples The first step to this method of finding the Least Common Multiple of 149 and 59 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, 149 and 59: What are the Multiples of 149? What are the Multiples of 59? Let’s take a look at the first 10 multiples for each of these numbers, 149 and 59: First 10 Multiples of 149: 149, 298, 447, 596, 745, 894, 1043, 1192, 1341, 1490 First 10 Multiples of 59: 59, 118, 177, 236, 295, 354, 413, 472, 531, 590 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 149 and 59 are 8791, 17582, 26373. Because 8791 is the smallest, it is the least common multiple. The LCM of 149 and 59 is 8791. Find the LCM of Other Number Pairs Want more practice? Try some of these other LCM problems: What is the LCM of 93 and 32? What is the LCM of 89 and 118? What is the LCM of 142 and 78? What is the LCM of 26 and 49? What is the LCM of 9 and 132?