Q:

What is the LCM of 59 and 20?

Accepted Solution

A:
Solution: The LCM of 59 and 20 is 1180MethodsHow to find the LCM of 59 and 20 using Prime FactorizationOne way to find the LCM of 59 and 20 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 59?What are the Factors of 20?Here is the prime factorization of 59:59159^1591And this is the prime factorization of 20:22×512^2 × 5^122×51When 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: 59, 2, 522×51×591=11802^2 × 5^1 × 59^1 = 118022×51×591=1180Through this we see that the LCM of 59 and 20 is 1180.How to Find the LCM of 59 and 20 by Listing Common MultiplesThe first step to this method of finding the Least Common Multiple of 59 and 20 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, 59 and 20:What are the Multiples of 59?What are the Multiples of 20?Let’s take a look at the first 10 multiples for each of these numbers, 59 and 20:First 10 Multiples of 59: 59, 118, 177, 236, 295, 354, 413, 472, 531, 590First 10 Multiples of 20: 20, 40, 60, 80, 100, 120, 140, 160, 180, 200You 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 59 and 20 are 1180, 2360, 3540. Because 1180 is the smallest, it is the least common multiple.The LCM of 59 and 20 is 1180.Find the LCM of Other Number PairsWant more practice? Try some of these other LCM problems:What is the LCM of 52 and 3?What is the LCM of 130 and 66?What is the LCM of 124 and 120?What is the LCM of 48 and 47?What is the LCM of 51 and 117?