Solution: The LCM of 1 and 75 is 75
Methods
How to Find the LCM of 1 and 75 by Listing Common Multiples
The first step to this method of finding the Least Common Multiple of 1 and 75 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 for those here:
What are the Multiples of 1?
What are the Multiples of 75?
Let’s take a look at the first 10 multiples for each of these numbers, 1 and 75:
First 10 Multiples of 1: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10
First 10 Multiples of 75: 75, 150, 225, 300, 375, 450, 525, 600, 675, 750
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 1 and 75 are 75, 150, 225. Because 75 is the smallest, it is the least common multiple.
The LCM of 1 and 75 is 75.
Continue Practicing by Finding the LCM of Other Numbers
Take a look at some of our other walkthroughs, and you’ll be sure to be an expert at finding the LCM of any numbers in no time!
What is the LCM of 108 and 74?
What is the LCM of 145 and 94?
What is the LCM of 37 and 30?
What is the LCM of 99 and 143?
What is the LCM of 75 and 76?