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Why is the LCM of 5 and 20 not 5?

Question:

Why is the LCM of 5 and 20 not 5?

Least Common Multiple:

The Least Common Multiple is the lowest value common number that is a multiple of each number in a set. In other words, this least common multiple should be divisible by all the numbers.

Answer and Explanation:

The Least Common Multiple (LCM) of two or more numbers is the lowest value number that is a multiple of all the numbers.

Here, the LCM of 5 and 20 cannot be 5, as it is not divisible by both 5 and 20. However, 20 is divisible by both 5 and 20, so 20 is the LCM of 5 and 20.


Learn more about this topic:

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How to Find the Least Common Multiple

from Math 102: College Mathematics

Chapter 1 / Lesson 4
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