Solution: The LCM of 119 and 69 is 8211MethodsHow to find the LCM of 119 and 69 using Prime FactorizationOne way to find the LCM of 119 and 69 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 119?What are the Factors of 69?Here is the prime factorization of 119:71×1717^1 × 17^171×171And this is the prime factorization of 69:31×2313^1 × 23^131×231When 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: 7, 17, 3, 2331×71×171×231=82113^1 × 7^1 × 17^1 × 23^1 = 821131×71×171×231=8211Through this we see that the LCM of 119 and 69 is 8211.How to Find the LCM of 119 and 69 by Listing Common MultiplesThe first step to this method of finding the Least Common Multiple of 119 and 69 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, 119 and 69:What are the Multiples of 119?What are the Multiples of 69?Let’s take a look at the first 10 multiples for each of these numbers, 119 and 69:First 10 Multiples of 119: 119, 238, 357, 476, 595, 714, 833, 952, 1071, 1190First 10 Multiples of 69: 69, 138, 207, 276, 345, 414, 483, 552, 621, 690You 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 119 and 69 are 8211, 16422, 24633. Because 8211 is the smallest, it is the least common multiple.The LCM of 119 and 69 is 8211.Find the LCM of Other Number PairsWant more practice? Try some of these other LCM problems:What is the LCM of 101 and 127?What is the LCM of 20 and 112?What is the LCM of 29 and 35?What is the LCM of 25 and 74?What is the LCM of 42 and 43?