What is the LCM of 131 and 97?

Solution: The LCM of 131 and 97 is 12707 Methods How to find the LCM of 131 and 97 using Prime Factorization One way to find the LCM of 131 and 97 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 131? What are the Factors of 97? Here is the prime factorization of 131: 13 1 1 131^1 13 1 1 And this is the prime factorization of 97: 9 7 1 97^1 9 7 1 When 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: 131, 97 9 7 1 × 13 1 1 = 12707 97^1 × 131^1 = 12707 9 7 1 × 13 1 1 = 12707 Through this we see that the LCM of 131 and 97 is 12707. How to Find the LCM of 131 and 97 by Listing Common Multiples The first step to this method of finding the Least Common Multiple of 131 and 97 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, 131 and 97: What are the Multiples of 131? What are the Multiples of 97? Let’s take a look at the first 10 multiples for each of these numbers, 131 and 97: First 10 Multiples of 131: 131, 262, 393, 524, 655, 786, 917, 1048, 1179, 1310 First 10 Multiples of 97: 97, 194, 291, 388, 485, 582, 679, 776, 873, 970 You 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 131 and 97 are 12707, 25414, 38121. Because 12707 is the smallest, it is the least common multiple. The LCM of 131 and 97 is 12707. Find the LCM of Other Number Pairs Want more practice? Try some of these other LCM problems: What is the LCM of 92 and 118? What is the LCM of 85 and 9? What is the LCM of 63 and 119? What is the LCM of 140 and 97? What is the LCM of 102 and 105?