Solution: The LCM of 132 and 57 is 2508MethodsHow to find the LCM of 132 and 57 using Prime FactorizationOne way to find the LCM of 132 and 57 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 132?What are the Factors of 57?Here is the prime factorization of 132:22×31×1112^2 × 3^1 × 11^122×31×111And this is the prime factorization of 57:31×1913^1 × 19^131×191When 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: 2, 3, 11, 1922×31×111×191=25082^2 × 3^1 × 11^1 × 19^1 = 250822×31×111×191=2508Through this we see that the LCM of 132 and 57 is 2508.How to Find the LCM of 132 and 57 by Listing Common MultiplesThe first step to this method of finding the Least Common Multiple of 132 and 57 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, 132 and 57:What are the Multiples of 132?What are the Multiples of 57?Let’s take a look at the first 10 multiples for each of these numbers, 132 and 57:First 10 Multiples of 132: 132, 264, 396, 528, 660, 792, 924, 1056, 1188, 1320First 10 Multiples of 57: 57, 114, 171, 228, 285, 342, 399, 456, 513, 570You 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 132 and 57 are 2508, 5016, 7524. Because 2508 is the smallest, it is the least common multiple.The LCM of 132 and 57 is 2508.Find the LCM of Other Number PairsWant more practice? Try some of these other LCM problems:What is the LCM of 41 and 105?What is the LCM of 72 and 13?What is the LCM of 128 and 94?What is the LCM of 122 and 15?What is the LCM of 51 and 19?