# What is the LCM of 105 and 195?

LCM of 105 and 195 is the least number which is exactly divisible by both 105 and 195

## Answer: LCM of 105 and 195 is 1365

We will explain two methods to find LCM of 105 and 195.

## Explanation:

Least Common Multiple is the smallest number which is exactly divisible by 105 and 195.

- LCM of 105 and 195 by Common Division Method
- LCM of 105 and 195 by Prime Factorization Method

### Method1: LCM of 105 and 195 by Common Division Method

In this division method, we divide the 105 and 195 simultaneously with prime numbers and stop it when we don't have a prime number to divide both 105 and 195

LCM(105, 195) = 3 × 5 × 7 × 13 = 1365

### Method2: LCM of 105 and 195 by Prime Factorization Method

Prime Factorization of 105 = 3 × 5 × 7

Prime Factorization of 195 = 3 × 5 × 13

LCM is the product of the prime factors appearing the greatest number of time in each number.

LCM(105, 195) = 3 × 5 × 7 × 13 = 1,365