# What is the LCM of 6 and 16?

The least number which is exactly divisible by both 6 and 16 is called LCM(6, 16) or the least common multiple of 6 and 16.

## Answer: LCM of 6 and 16 is 48

Lets see how to find the LCM of 6 and 16

## Explanation:

The smallest number which the given numbers divide exactly is called as least common multiple.

## Methods to Find LCM of 6 and 16

LCM of the numbers can be found using:

- Common division method
- Formula method
- List of multiples method.

### LCM(6, 16) by Common Division Method

### In this division method,

- we divide the numbers simultaneously with prime numbers and
- continue the process and we conclude the process when we are left with no prime number that divides the numbers exactly.

### LCM(6, 16) by Empirical Formula

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

The greatest common factor or highest common factor of (6, 16) = 2

By substituting in the formula, we get,

LCM of 6 and 16 = (6 × 16) / 2

= 96/2 = 48

LCM of 6 and 16 = 48

### LCM of 6 and 16 by Listing Method

In this method,

- we list the first few multiples of 6 and 16 and
- identify the common multiples.

LCM of 6 and 16 is the least among the common multiples.

Irrespective of the method, the LCM(6, 16) is 48. It is unique for a given set of numbers.