Solution: The LCM of 59 and 11 is 649MethodsHow to find the LCM of 59 and 11 using Prime FactorizationOne way to find the LCM of 59 and 11 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 59?What are the Factors of 11?Here is the prime factorization of 59:59159^1591And this is the prime factorization of 11:11111^1111When 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: 59, 11111×591=64911^1 × 59^1 = 649111×591=649Through this we see that the LCM of 59 and 11 is 649.How to Find the LCM of 59 and 11 by Listing Common MultiplesThe first step to this method of finding the Least Common Multiple of 59 and 11 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, 59 and 11:What are the Multiples of 59?What are the Multiples of 11?Let’s take a look at the first 10 multiples for each of these numbers, 59 and 11:First 10 Multiples of 59: 59, 118, 177, 236, 295, 354, 413, 472, 531, 590First 10 Multiples of 11: 11, 22, 33, 44, 55, 66, 77, 88, 99, 110You 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 59 and 11 are 649, 1298, 1947. Because 649 is the smallest, it is the least common multiple.The LCM of 59 and 11 is 649.Find the LCM of Other Number PairsWant more practice? Try some of these other LCM problems:What is the LCM of 146 and 61?What is the LCM of 65 and 2?What is the LCM of 91 and 126?What is the LCM of 89 and 71?What is the LCM of 80 and 23?