Solution: The LCM of 66 and 76 is 2508MethodsHow to find the LCM of 66 and 76 using Prime FactorizationOne way to find the LCM of 66 and 76 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 76?Here is the prime factorization of 66:21×31×1112^1 × 3^1 × 11^121×31×111And this is the prime factorization of 76:22×1912^2 × 19^122×191When 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 66 and 76 is 2508.How to Find the LCM of 66 and 76 by Listing Common MultiplesThe first step to this method of finding the Least Common Multiple of 66 and 76 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 76:What are the Multiples of 66?What are the Multiples of 76?Let’s take a look at the first 10 multiples for each of these numbers, 66 and 76:First 10 Multiples of 66: 66, 132, 198, 264, 330, 396, 462, 528, 594, 660First 10 Multiples of 76: 76, 152, 228, 304, 380, 456, 532, 608, 684, 760You 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 76 are 2508, 5016, 7524. Because 2508 is the smallest, it is the least common multiple.The LCM of 66 and 76 is 2508.Find the LCM of Other Number PairsWant more practice? Try some of these other LCM problems:What is the LCM of 27 and 124?What is the LCM of 49 and 33?What is the LCM of 104 and 147?What is the LCM of 13 and 76?What is the LCM of 126 and 34?