# What is the LCM of 4 and 15?

LCM__ __ of two or more numbers is the smallest number which is exactly divisible by the given numbers.

## Answer: LCM of 4 and 15 is 60

Lets see how to find the LCM of 4 and 15

## Explanation:

LCM of 4 and 15 is the least number which is exactly divisible by both 4 and 15.

We can find the LCM of 4 and 15 by different methods

## Methods to Find LCM of 4 and 15

Let us use the following methods to find the LCM of 4 and 15

- Listing the Common Factors
- Formula

### LCM of 4 and 15 by Listing the Common Factors Method

In this method, we list the first few multiples of 4 and 15 and identify the common multiples.

The smallest number among the common multiples is the LCM of 4 and 15.

LCM (4,15) = 60

** LCM of 4 and 15 by Common Division Method**

In this division method, we divide the 4 and 15 simultaneously with prime numbers and stop it when we don't have a prime number to divide the given numbers.

LCM of 4 and 15 is** **2 * 2 * 3 * 5 which is equal to 60.

### LCM of 4 and 15 by Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF (a,b)

The Greatest Common Factor of (4,15) = 1

Therefore

LCM of 4 and 15 = (4 × 15) / 1

= 60

LCM of 4 and 15 = 60

Irrespective of the method, the solution to our question LCM of 4 and 15 is the same.