Solution: The LCM of 96 and 12 is 96MethodsHow to find the LCM of 96 and 12 using Prime FactorizationOne way to find the LCM of 96 and 12 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 96?What are the Factors of 12?Here is the prime factorization of 96:25×312^5 × 3^125×31And this is the prime factorization of 12:22×312^2 × 3^122×31When 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, 325×31=962^5 × 3^1 = 9625×31=96Through this we see that the LCM of 96 and 12 is 96.How to Find the LCM of 96 and 12 by Listing Common MultiplesThe first step to this method of finding the Least Common Multiple of 96 and 12 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, 96 and 12:What are the Multiples of 96?What are the Multiples of 12?Let’s take a look at the first 10 multiples for each of these numbers, 96 and 12:First 10 Multiples of 96: 96, 192, 288, 384, 480, 576, 672, 768, 864, 960First 10 Multiples of 12: 12, 24, 36, 48, 60, 72, 84, 96, 108, 120You 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 96 and 12 are 96, 192, 288. Because 96 is the smallest, it is the least common multiple.The LCM of 96 and 12 is 96.Find the LCM of Other Number PairsWant more practice? Try some of these other LCM problems:What is the LCM of 103 and 94?What is the LCM of 13 and 62?What is the LCM of 40 and 21?What is the LCM of 26 and 145?What is the LCM of 116 and 147?