Solution: The LCM of 119 and 29 is 3451MethodsHow to find the LCM of 119 and 29 using Prime FactorizationOne way to find the LCM of 119 and 29 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 29?Here is the prime factorization of 119:71×1717^1 × 17^171×171And this is the prime factorization of 29:29129^1291When 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, 2971×171×291=34517^1 × 17^1 × 29^1 = 345171×171×291=3451Through this we see that the LCM of 119 and 29 is 3451.How to Find the LCM of 119 and 29 by Listing Common MultiplesThe first step to this method of finding the Least Common Multiple of 119 and 29 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 29:What are the Multiples of 119?What are the Multiples of 29?Let’s take a look at the first 10 multiples for each of these numbers, 119 and 29:First 10 Multiples of 119: 119, 238, 357, 476, 595, 714, 833, 952, 1071, 1190First 10 Multiples of 29: 29, 58, 87, 116, 145, 174, 203, 232, 261, 290You 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 29 are 3451, 6902, 10353. Because 3451 is the smallest, it is the least common multiple.The LCM of 119 and 29 is 3451.Find the LCM of Other Number PairsWant more practice? Try some of these other LCM problems:What is the LCM of 59 and 150?What is the LCM of 146 and 84?What is the LCM of 49 and 85?What is the LCM of 144 and 100?What is the LCM of 121 and 17?