Q:

What is the LCM of 149 and 143?

Accepted Solution

A:
Solution: The LCM of 149 and 143 is 21307 Methods How to find the LCM of 149 and 143 using Prime Factorization One way to find the LCM of 149 and 143 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 143? Here is the prime factorization of 149: 14 9 1 149^1 14 9 1 And this is the prime factorization of 143: 1 1 1 × 1 3 1 11^1 × 13^1 1 1 1 × 1 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, 11, 13 1 1 1 × 1 3 1 × 14 9 1 = 21307 11^1 × 13^1 × 149^1 = 21307 1 1 1 × 1 3 1 × 14 9 1 = 21307 Through this we see that the LCM of 149 and 143 is 21307. How to Find the LCM of 149 and 143 by Listing Common Multiples The first step to this method of finding the Least Common Multiple of 149 and 143 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 143: What are the Multiples of 149? What are the Multiples of 143? Let’s take a look at the first 10 multiples for each of these numbers, 149 and 143: First 10 Multiples of 149: 149, 298, 447, 596, 745, 894, 1043, 1192, 1341, 1490 First 10 Multiples of 143: 143, 286, 429, 572, 715, 858, 1001, 1144, 1287, 1430 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 143 are 21307, 42614, 63921. Because 21307 is the smallest, it is the least common multiple. The LCM of 149 and 143 is 21307. Find the LCM of Other Number Pairs Want more practice? Try some of these other LCM problems: What is the LCM of 122 and 7? What is the LCM of 119 and 108? What is the LCM of 145 and 73? What is the LCM of 68 and 121? What is the LCM of 94 and 97?