Q:

What is the LCM of 81 and 73?

Accepted Solution

A:
Solution: The LCM of 81 and 73 is 5913 Methods How to find the LCM of 81 and 73 using Prime Factorization One way to find the LCM of 81 and 73 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 81? What are the Factors of 73? Here is the prime factorization of 81: 3 4 3^4 3 4 And this is the prime factorization of 73: 7 3 1 73^1 7 3 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: 3, 73 3 4 × 7 3 1 = 5913 3^4 × 73^1 = 5913 3 4 × 7 3 1 = 5913 Through this we see that the LCM of 81 and 73 is 5913. How to Find the LCM of 81 and 73 by Listing Common Multiples The first step to this method of finding the Least Common Multiple of 81 and 73 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, 81 and 73: What are the Multiples of 81? What are the Multiples of 73? Let’s take a look at the first 10 multiples for each of these numbers, 81 and 73: First 10 Multiples of 81: 81, 162, 243, 324, 405, 486, 567, 648, 729, 810 First 10 Multiples of 73: 73, 146, 219, 292, 365, 438, 511, 584, 657, 730 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 81 and 73 are 5913, 11826, 17739. Because 5913 is the smallest, it is the least common multiple. The LCM of 81 and 73 is 5913. Find the LCM of Other Number Pairs Want more practice? Try some of these other LCM problems: What is the LCM of 103 and 121? What is the LCM of 12 and 122? What is the LCM of 33 and 94? What is the LCM of 6 and 29? What is the LCM of 17 and 72?