# Lowest common multiple (LCM)

We know Lowest = Smallest number

Common = Anything the same

Multiple = Multiplication table

Multiple here is short for

Multiplication tables

So logically

Lowest common multiple is

LCM - The smallest number

that they have in common

from multiplication tables

**Example 1**

What is the lowest common multiple of the two numbers 3 and 4?

Lowest common multiple:

- The smallest number
- What they have in common
- From multiplication tables

Multiplcation tables

What they have in common are:

12 and 24

The smallest number is 12.

**Answer:**

The lowest common multiple of the two numbers 3 and 4 is 12.

**Example 2**

What is the lowest common multiple of the two numbers 6 and 8?

Lowest common multiple:

- The smallest number
- What they have in common
- From multiplication tables

Multiplcation tables

What they have in common are:

24 and 48

The smallest number is 24.

**Answer:**

The lowest common multiple of the two numbers 6 and 8 is 24.

**Example 3**

What is the lowest common multiple of the two numbers 18 and 12?

Lowest common multiple:

- The smallest number
- What they have in common
- From multiplication tables

Multiplcation tables

What they have in common is:

36 and 72

The smallest number is 36.

**Answer:**

The lowest common multiple of the two numbers 18 and 12 is 36.