Solution: The LCM of 66 and 64 is 2112MethodsHow to find the LCM of 66 and 64 using Prime FactorizationOne way to find the LCM of 66 and 64 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 66?What are the Factors of 64?Here is the prime factorization of 66:21×31×1112^1 × 3^1 × 11^121×31×111And this is the prime factorization of 64:262^626When 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, 1126×31×111=21122^6 × 3^1 × 11^1 = 211226×31×111=2112Through this we see that the LCM of 66 and 64 is 2112.How to Find the LCM of 66 and 64 by Listing Common MultiplesThe first step to this method of finding the Least Common Multiple of 66 and 64 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, 66 and 64:What are the Multiples of 66?What are the Multiples of 64?Let’s take a look at the first 10 multiples for each of these numbers, 66 and 64:First 10 Multiples of 66: 66, 132, 198, 264, 330, 396, 462, 528, 594, 660First 10 Multiples of 64: 64, 128, 192, 256, 320, 384, 448, 512, 576, 640You 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 66 and 64 are 2112, 4224, 6336. Because 2112 is the smallest, it is the least common multiple.The LCM of 66 and 64 is 2112.Find the LCM of Other Number PairsWant more practice? Try some of these other LCM problems:What is the LCM of 15 and 122?What is the LCM of 84 and 30?What is the LCM of 33 and 129?What is the LCM of 34 and 87?What is the LCM of 12 and 61?