Table of Contents
Common Multiple
A common Multiple number is a multiple of two or more numbers.
Example
Multiple of 3 and 4:
Number | Multiples |
3 | 3, 6, 9, 12, 15, 18, 21, 24, … |
4 | 4, 8, 12, 16, 20, 24, … |
So, the common multiples of 3 and 4 are: 12, 24, …
Least Common Multiple
Least Common Multiple is smallest positive number that is a multiple of two or more numbers. It is simply the smallest of common multiples.
From the previous example, the Least Common Multiple of 3 and 4 is 12
Example
With 3 Numbers
Number | Multiples |
2 | 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, … |
3 | 3, 6, 9, 12, 15, 18, 21, 24, … |
6 | 6, 12, 18, 24, … |
The Least Common Multiple of 2, 3, and 6 is 6