Solution: The LCM of 135 and 113 is 15255MethodsHow to find the LCM of 135 and 113 using Prime FactorizationOne way to find the LCM of 135 and 113 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 135?What are the Factors of 113?Here is the prime factorization of 135:33×513^3 × 5^133×51And this is the prime factorization of 113:1131113^11131When 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: 3, 5, 11333×51×1131=152553^3 × 5^1 × 113^1 = 1525533×51×1131=15255Through this we see that the LCM of 135 and 113 is 15255.How to Find the LCM of 135 and 113 by Listing Common MultiplesThe first step to this method of finding the Least Common Multiple of 135 and 113 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, 135 and 113:What are the Multiples of 135?What are the Multiples of 113?Let’s take a look at the first 10 multiples for each of these numbers, 135 and 113:First 10 Multiples of 135: 135, 270, 405, 540, 675, 810, 945, 1080, 1215, 1350First 10 Multiples of 113: 113, 226, 339, 452, 565, 678, 791, 904, 1017, 1130You 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 135 and 113 are 15255, 30510, 45765. Because 15255 is the smallest, it is the least common multiple.The LCM of 135 and 113 is 15255.Find the LCM of Other Number PairsWant more practice? Try some of these other LCM problems:What is the LCM of 54 and 8?What is the LCM of 79 and 107?What is the LCM of 146 and 64?What is the LCM of 99 and 13?What is the LCM of 103 and 143?