# Calculate the LCM of 32 and 56

The least common multiple can be defined as the lowest positive integer that is a multiple of every number in a given set of numbers

## Answer: The LCM of 32 and 56 is 224

Let us see how to find the LCM of 32 and 56

## Explanation:

We will be using the following methods to calculate the LCM

- Listing the multiples
- Formula method

### Listing the multiples:

Let's list down the first few multiples of 32 and 56 as shown below:

Multiples of 32: 32, 64, 96, 128, 160, 192, 224

Multiples of 56: 56, 112, 168, 224

Thus, the lowest common multiple of 32 and 56 is 224

### By using Formula :

LCM (p, q) = (p × q) / GCF (p, q)

The Greatest Common Factor of (32,56) = 8

Therefore by substituting we get,

LCM of 32 and 56 = (32× 56) / 8

= 224

LCM of 32 and 56 = 224