# What is the LCM of 144 and 169?

LCM of 144 and 169 is the smallest number which divides both 144 and 169 exactly without a remainder.

## Answer: LCM of 144 and 169 is 24336

## Explanation

For 144 and 169, the smallest number which would be perfectly divisible by them is their LCM which is 24336. Let us see how to calculate it below:

Least Common Multiple of 144 and 169 is the smallest number that will divide 144 and 169 exactly.

### LCM of 144 and 169 by Common Division Method

Here we will divide the numbers 144 and 169 simultaneously with prime numbers until we don't have a prime number to further divide both 144 and 169.Product of the prime factors is the lCM of 144 and 169.

So, the LCM of 144 and 169 is 24336

### LCM of 144 and 169 by Prime factorization

Prime factorization of 144: 2 x 2 x 2 x 2 × 3 x 3

Prime factorization of 169 : 13 x 13

LCM (144,169) is the product of al the prime factors = 2 x 2 x 2 x 2 × 3 x 3 x 13 x 13 = 24336