# What is the LCM of 20 and 40?

The Least Common Multiple of 20 and 40 would be a number which is the smallest and also perfectly or exactly divisible by them.

## Answer: LCM of (20 and 40) = 40

Let's see how to find the LCM of 20 and 40

## Explanation:

Least Common Multiple: It is that number that is the smallest and also exactly divisible by the given numbers.

## Methods to Find the LCM of 20 and 40

Let's see two different ways by which the LCM of 20 and 40 can be found out:

### LCM of 20 and 40 using Listing Multiples Method:

- List down the multiples of the three given numbers.
- Find out which are the common multiples amongst all.
- Spot the one which is the smallest and that will be the LCM

### LCM of 20 and 40 using Formula Method:

Statement: The product of any two given numbers 'a' and 'b' is always equal to the product of their LCM and GCF.

Formula: a×b=LCM(a,b) × GCF(a,b)

LCM(a,b)=(a×b)/GCF(a,b)

The Greatest Common Factor(GCF) of (20, 40) = 20

Therefore

LCM of 20 and 40 = (20 × 40) / 20

= 800/20 = 40

LCM of 20 and 40 = 40

Both the above-mentioned methods yield the same answer.