What is the LCM of 149 and 73?

Solution: The LCM of 149 and 73 is 10877 Methods How to find the LCM of 149 and 73 using Prime Factorization One way to find the LCM of 149 and 73 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 73? Here is the prime factorization of 149: 14 9 1 149^1 14 9 1 And this is the prime factorization of 73: 7 3 1 73^1 7 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: 149, 73 7 3 1 × 14 9 1 = 10877 73^1 × 149^1 = 10877 7 3 1 × 14 9 1 = 10877 Through this we see that the LCM of 149 and 73 is 10877. How to Find the LCM of 149 and 73 by Listing Common Multiples The first step to this method of finding the Least Common Multiple of 149 and 73 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 73: What are the Multiples of 149? What are the Multiples of 73? Let’s take a look at the first 10 multiples for each of these numbers, 149 and 73: First 10 Multiples of 149: 149, 298, 447, 596, 745, 894, 1043, 1192, 1341, 1490 First 10 Multiples of 73: 73, 146, 219, 292, 365, 438, 511, 584, 657, 730 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 73 are 10877, 21754, 32631. Because 10877 is the smallest, it is the least common multiple. The LCM of 149 and 73 is 10877. Find the LCM of Other Number Pairs Want more practice? Try some of these other LCM problems: What is the LCM of 87 and 131? What is the LCM of 4 and 58? What is the LCM of 10 and 95? What is the LCM of 54 and 14? What is the LCM of 66 and 137?