Solution: The LCM of 73 and 129 is 9417MethodsHow to find the LCM of 73 and 129 using Prime FactorizationOne way to find the LCM of 73 and 129 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 73?What are the Factors of 129?Here is the prime factorization of 73:73173^1731And this is the prime factorization of 129:31×4313^1 × 43^131×431When 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: 73, 3, 4331×431×731=94173^1 × 43^1 × 73^1 = 941731×431×731=9417Through this we see that the LCM of 73 and 129 is 9417.How to Find the LCM of 73 and 129 by Listing Common MultiplesThe first step to this method of finding the Least Common Multiple of 73 and 129 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, 73 and 129:What are the Multiples of 73?What are the Multiples of 129?Let’s take a look at the first 10 multiples for each of these numbers, 73 and 129:First 10 Multiples of 73: 73, 146, 219, 292, 365, 438, 511, 584, 657, 730First 10 Multiples of 129: 129, 258, 387, 516, 645, 774, 903, 1032, 1161, 1290You 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 73 and 129 are 9417, 18834, 28251. Because 9417 is the smallest, it is the least common multiple.The LCM of 73 and 129 is 9417.Find the LCM of Other Number PairsWant more practice? Try some of these other LCM problems:What is the LCM of 19 and 69?What is the LCM of 99 and 140?What is the LCM of 101 and 103?What is the LCM of 105 and 66?What is the LCM of 136 and 85?