Solution: The LCM of 63 and 3 is 63MethodsHow to find the LCM of 63 and 3 using Prime FactorizationOne way to find the LCM of 63 and 3 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 63?What are the Factors of 3?Here is the prime factorization of 63:32×713^2 × 7^132×71And this is the prime factorization of 3:313^131When 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: 3, 732×71=633^2 × 7^1 = 6332×71=63Through this we see that the LCM of 63 and 3 is 63.How to Find the LCM of 63 and 3 by Listing Common MultiplesThe first step to this method of finding the Least Common Multiple of 63 and 3 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, 63 and 3:What are the Multiples of 63?What are the Multiples of 3?Let’s take a look at the first 10 multiples for each of these numbers, 63 and 3:First 10 Multiples of 63: 63, 126, 189, 252, 315, 378, 441, 504, 567, 630First 10 Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30You 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 63 and 3 are 63, 126, 189. Because 63 is the smallest, it is the least common multiple.The LCM of 63 and 3 is 63.Find the LCM of Other Number PairsWant more practice? Try some of these other LCM problems:What is the LCM of 69 and 55?What is the LCM of 54 and 91?What is the LCM of 24 and 71?What is the LCM of 79 and 84?What is the LCM of 41 and 57?