Solution: The LCM of 120 and 120 is 120MethodsHow to find the LCM of 120 and 120 using Prime FactorizationOne way to find the LCM of 120 and 120 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 120?What are the Factors of 120?Here is the prime factorization of 120:23×31×512^3 × 3^1 × 5^123×31×51And this is the prime factorization of 120:23×31×512^3 × 3^1 × 5^123×31×51When 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, 523×31×51=1202^3 × 3^1 × 5^1 = 12023×31×51=120Through this we see that the LCM of 120 and 120 is 120.How to Find the LCM of 120 and 120 by Listing Common MultiplesThe first step to this method of finding the Least Common Multiple of 120 and 120 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, 120 and 120:What are the Multiples of 120?What are the Multiples of 120?Let’s take a look at the first 10 multiples for each of these numbers, 120 and 120:First 10 Multiples of 120: 120, 240, 360, 480, 600, 720, 840, 960, 1080, 1200First 10 Multiples of 120: 120, 240, 360, 480, 600, 720, 840, 960, 1080, 1200You 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 120 and 120 are 120, 240, 360. Because 120 is the smallest, it is the least common multiple.The LCM of 120 and 120 is 120.Find the LCM of Other Number PairsWant more practice? Try some of these other LCM problems:What is the LCM of 29 and 105?What is the LCM of 41 and 18?What is the LCM of 117 and 60?What is the LCM of 8 and 118?What is the LCM of 6 and 62?