# What is the LCM of 8 and 16?

The least common multiple of 8 and 16 is the least number which is exactly divisible by both 8 and 16.

## Answer: LCM of 8 and 16 is 16

Lets see how to find the LCM of 8 and 16

## Explanation:

The Least Common Multiple of two numbers a and b is the smallest number that divides a and b exactly.

We can find the LCM of the numbers in many ways.

## Methods to Find LCM of 8 and 16

Let us use the following methods to find the LCM of 8 and 16

- Listing the Multiples
- Common Division

### Find LCM of 8 and 16 by Listing Method

We list the first few multiples of 8 and 16 and then identify the common multiples of 8 and 16

The least among the common multiples is the LCM of 8 and 16

The least among the common multiples of 8 and 16 is the number 16

So, LCM of 8 and 16 is 16

### Find LCM of 8 and 16 by Common Division Method

Follow the steps mentioned below to find the LCM of 8 and 16 by the common division method.

**Step 1:**Write the numbers 8 and 16 horizontally by separating them with a comma.**Step 2:**Choose the smallest prime number that divides at least any one of them.**Step 3:**Write the quotient in the next row just below the numbers. If any of the numbers are not divided, we will bring it down directly.**Step 4:**We will stop it when we don't have a prime number to divide the given numbers.**Step 5:**Least common multiple of 8 and 16 will be the product of primes by which we have divided.

So, using the common division method, LCM of 8 and 16 is 16

Irrespective of the method, the solution to our question LCM of 8 and 16 is the same.