Q:

What is the LCM of 92 and 129?

Accepted Solution

A:
Solution: The LCM of 92 and 129 is 11868MethodsHow to find the LCM of 92 and 129 using Prime FactorizationOne way to find the LCM of 92 and 129 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 92?What are the Factors of 129?Here is the prime factorization of 92:22×2312^2 × 23^122×231And this is the prime factorization of 129:31×4313^1 × 43^131×431When 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: 2, 23, 3, 4322×31×231×431=118682^2 × 3^1 × 23^1 × 43^1 = 1186822×31×231×431=11868Through this we see that the LCM of 92 and 129 is 11868.How to Find the LCM of 92 and 129 by Listing Common MultiplesThe first step to this method of finding the Least Common Multiple of 92 and 129 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, 92 and 129:What are the Multiples of 92?What are the Multiples of 129?Let’s take a look at the first 10 multiples for each of these numbers, 92 and 129:First 10 Multiples of 92: 92, 184, 276, 368, 460, 552, 644, 736, 828, 920First 10 Multiples of 129: 129, 258, 387, 516, 645, 774, 903, 1032, 1161, 1290You 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 92 and 129 are 11868, 23736, 35604. Because 11868 is the smallest, it is the least common multiple.The LCM of 92 and 129 is 11868.Find the LCM of Other Number PairsWant more practice? Try some of these other LCM problems:What is the LCM of 112 and 35?What is the LCM of 53 and 75?What is the LCM of 62 and 128?What is the LCM of 52 and 130?What is the LCM of 18 and 94?