Solution: The LCM of 11 and 116 is 1276MethodsHow to find the LCM of 11 and 116 using Prime FactorizationOne way to find the LCM of 11 and 116 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 11?What are the Factors of 116?Here is the prime factorization of 11:11111^1111And this is the prime factorization of 116:22×2912^2 × 29^122×291When 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: 11, 2, 2922×111×291=12762^2 × 11^1 × 29^1 = 127622×111×291=1276Through this we see that the LCM of 11 and 116 is 1276.How to Find the LCM of 11 and 116 by Listing Common MultiplesThe first step to this method of finding the Least Common Multiple of 11 and 116 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, 11 and 116:What are the Multiples of 11?What are the Multiples of 116?Let’s take a look at the first 10 multiples for each of these numbers, 11 and 116:First 10 Multiples of 11: 11, 22, 33, 44, 55, 66, 77, 88, 99, 110First 10 Multiples of 116: 116, 232, 348, 464, 580, 696, 812, 928, 1044, 1160You 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 11 and 116 are 1276, 2552, 3828. Because 1276 is the smallest, it is the least common multiple.The LCM of 11 and 116 is 1276.Find the LCM of Other Number PairsWant more practice? Try some of these other LCM problems:What is the LCM of 149 and 13?What is the LCM of 121 and 98?What is the LCM of 29 and 38?What is the LCM of 5 and 75?What is the LCM of 1 and 31?