# What is the LCM of 12, 16, 24 and 36?

LCM is the least number which is exactly divisible by all the four given numbers.

## Answer: LCM of 12,16, 24 and 36 is 144

We will learn two methods to find LCM of 12,16, 24 and 36.

## Explanation:

Least Common Multiple is the smallest number which is exactly divisible by 18 and 72

- LCM of 12, 16, 24 and 36 by Listing Common Multiples
- LCM of 12, 16, 24 and 36 by Prime factorization Method

### Method 1: LCM of 12, 16, 24 and 36 by List of Multiples Method

**Step 1:** Write the multiples of all four numbers, 12, 16, 24 and 36.

**Step 2: **Spot the ones which are common to all.

**Step 3: **Take the one which is the least among the common ones as the LCM of 12, 16, 24 and 36.

### Method 2: LCM of 12, 16, 24 and 36 by Prime Factorization

Here, we write each number in prime factorization form. Then take the product of all factors in their highest power.

Prime Factorisation of 12: 2^{2 }× 3

Prime Factorisation of 16: 2^{4}

Prime Factorisation of 24: 2^{3 }× 3

Prime Factorisation of 36: 2^{2 }× 3^{2}

LCM of 12, 16, 24 and 36: 2^{4 }× 3^{2 }= 144