# Least Common Multiple

The **least common multiple (LCM)** of two numbers is the common multiple that has the lowest value and can be evenly divided by the two given numbers.

Example: Find the LCM of 3 and 8.

**Step 1**: List enough multiples for each number.

- Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30…
- Multiples of 8: 8, 16, 24, 32, 40, 48, 56, 64, 72, 80…

**Step 2**: From your lists of multiples above, find the common and least positive number that can be evenly divided by 3 and 8.

For this example, 24 is the common multiple with the lowest value that can evenly be divided by 3 and 8.

Therefore, the LCM of 3 and 8 is 24.

You may also write this as LCM\left( {3,8} \right) = 24.