Solution: The LCM of 65 and 65 is 65MethodsHow to find the LCM of 65 and 65 using Prime FactorizationOne way to find the LCM of 65 and 65 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 65?What are the Factors of 65?Here is the prime factorization of 65:51×1315^1 × 13^151×131And this is the prime factorization of 65:51×1315^1 × 13^151×131When 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: 5, 1351×131=655^1 × 13^1 = 6551×131=65Through this we see that the LCM of 65 and 65 is 65.How to Find the LCM of 65 and 65 by Listing Common MultiplesThe first step to this method of finding the Least Common Multiple of 65 and 65 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, 65 and 65:What are the Multiples of 65?What are the Multiples of 65?Let’s take a look at the first 10 multiples for each of these numbers, 65 and 65:First 10 Multiples of 65: 65, 130, 195, 260, 325, 390, 455, 520, 585, 650First 10 Multiples of 65: 65, 130, 195, 260, 325, 390, 455, 520, 585, 650You 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 65 and 65 are 65, 130, 195. Because 65 is the smallest, it is the least common multiple.The LCM of 65 and 65 is 65.Find the LCM of Other Number PairsWant more practice? Try some of these other LCM problems:What is the LCM of 102 and 79?What is the LCM of 2 and 56?What is the LCM of 114 and 15?What is the LCM of 47 and 81?What is the LCM of 58 and 72?