Q:

What is the LCM of 127 and 127?

Accepted Solution

A:
Solution: The LCM of 127 and 127 is 127MethodsHow to find the LCM of 127 and 127 using Prime FactorizationOne way to find the LCM of 127 and 127 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 127?What are the Factors of 127?Here is the prime factorization of 127:1271127^11271And this is the prime factorization of 127:1271127^11271When 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: 1271271=127127^1 = 1271271=127Through this we see that the LCM of 127 and 127 is 127.How to Find the LCM of 127 and 127 by Listing Common MultiplesThe first step to this method of finding the Least Common Multiple of 127 and 127 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, 127 and 127:What are the Multiples of 127?What are the Multiples of 127?Let’s take a look at the first 10 multiples for each of these numbers, 127 and 127:First 10 Multiples of 127: 127, 254, 381, 508, 635, 762, 889, 1016, 1143, 1270First 10 Multiples of 127: 127, 254, 381, 508, 635, 762, 889, 1016, 1143, 1270You 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 127 and 127 are 127, 254, 381. Because 127 is the smallest, it is the least common multiple.The LCM of 127 and 127 is 127.Find the LCM of Other Number PairsWant more practice? Try some of these other LCM problems:What is the LCM of 107 and 29?What is the LCM of 49 and 92?What is the LCM of 81 and 143?What is the LCM of 19 and 54?What is the LCM of 57 and 23?