What Are Multiples?
The multiples of a number is the set of all numbers that it can be multiplied into evenly. For example, the multiples of the number 2 would be as follows:
What is a Common Multiple?
A common multiple occurs when two or more numbers share one or more of the same multiples. For example, the numbers 2 and 8 have the following common multiples because both can be divided evenly into each number listed:
What is a Least Common Multiple?
A least common multiple (LCM) is the lowest multiple that two or more numbers share. Referring back to the numbers 2 and 8, the LCM would be 8 based on the following set of multiples:
Multiples of 8: 8, 16, 24, 32, 40, 48, 56, ...
And that's all there is to understanding Least Common Multiples.