# What is the LCM of 42 and 48?

To find the LCM of 42 and 48, we need the least number which is exactly divisible by both 42 and 48.

## Answer: LCM of 42 and 48 is 336

The Least Common Multiple (LCM) of two numbers a and b is the smallest number that is divisible by a and b completely.

## Explanation:

We can find the LCM of 42 and 48 in two ways:

- LCM of 42 and 48 by Listing Multiples Method
- LCM of 42 and 48 by Formula

### Method 1: LCM of 42 and 48 by Listing Multiples Method

We will list the first few multiples of 42 and 48 and determine the common multiples.

The least among the common multiples is the LCM of 42 and 48

- Multiples of 42: 42, 84, 126, 168, 210, 252, 294,
, 378**336** - Multiples of 48: 48, 96, 144, 192, 240, 288,
, 384**336**

So, LCM of 42 and 48 = 336

### Method 2: LCM of 42 and 48 by Formula

The formula of LCM is

LCM (a,b) = (a × b) / GCF (a,b)

The Greatest Common Factor (GCF) of (42, 48) is 6.

So, GCF (42, 48) = 1

So, the LCM of 42 and 48 by using the formula,

LCM (42, 48) = (42 × 48) / 6

= 2016/6

= 336

LCM of 42 and 48 = 336

Observe that the solution to our question LCM of 42 and 48 is the same in both methods.