Solution: The LCM of 96 and 25 is 2400MethodsHow to find the LCM of 96 and 25 using Prime FactorizationOne way to find the LCM of 96 and 25 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 25?Here is the prime factorization of 96:25×312^5 × 3^125×31And this is the prime factorization of 25:525^252When 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, 3, 525×31×52=24002^5 × 3^1 × 5^2 = 240025×31×52=2400Through this we see that the LCM of 96 and 25 is 2400.How to Find the LCM of 96 and 25 by Listing Common MultiplesThe first step to this method of finding the Least Common Multiple of 96 and 25 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 25:What are the Multiples of 96?What are the Multiples of 25?Let’s take a look at the first 10 multiples for each of these numbers, 96 and 25:First 10 Multiples of 96: 96, 192, 288, 384, 480, 576, 672, 768, 864, 960First 10 Multiples of 25: 25, 50, 75, 100, 125, 150, 175, 200, 225, 250You 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 25 are 2400, 4800, 7200. Because 2400 is the smallest, it is the least common multiple.The LCM of 96 and 25 is 2400.Find the LCM of Other Number PairsWant more practice? Try some of these other LCM problems:What is the LCM of 136 and 71?What is the LCM of 61 and 76?What is the LCM of 84 and 134?What is the LCM of 68 and 70?What is the LCM of 5 and 1?