Solution: The LCM of 5 and 106 is 530MethodsHow to find the LCM of 5 and 106 using Prime FactorizationOne way to find the LCM of 5 and 106 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 5?What are the Factors of 106?Here is the prime factorization of 5:515^151And this is the prime factorization of 106:21×5312^1 × 53^121×531When 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: 5, 2, 5321×51×531=5302^1 × 5^1 × 53^1 = 53021×51×531=530Through this we see that the LCM of 5 and 106 is 530.How to Find the LCM of 5 and 106 by Listing Common MultiplesThe first step to this method of finding the Least Common Multiple of 5 and 106 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, 5 and 106:What are the Multiples of 5?What are the Multiples of 106?Let’s take a look at the first 10 multiples for each of these numbers, 5 and 106:First 10 Multiples of 5: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50First 10 Multiples of 106: 106, 212, 318, 424, 530, 636, 742, 848, 954, 1060You 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 5 and 106 are 530, 1060, 1590. Because 530 is the smallest, it is the least common multiple.The LCM of 5 and 106 is 530.Find the LCM of Other Number PairsWant more practice? Try some of these other LCM problems:What is the LCM of 60 and 147?What is the LCM of 105 and 91?What is the LCM of 102 and 139?What is the LCM of 78 and 113?What is the LCM of 106 and 57?