# What is the LCM of 14 and 24?

LCM of 14 and 24 is the least number which is exactly divisible by both 14 and 24

## Answer: LCM of (14,24) is 168

Lets see how to find the LCM of 14 and 24

## Explanation:

Lowest Common Multiple: Lowest Common Multiple of 14 and 24 is a number which is found to be the smallest and exactly divisible by the given numbers.

## Methods to Find the LCM of 14 and 24

Let us use the following methods to find the LCM of 14 and 24

### LCM of (14,24) by Formula Method

Statement: The product of any two given numbers 'a' and 'b' is always equal to the product of their LCM and GCF.

Formula: a×b=LCM(a,b) × GCF(a,b)

LCM(a,b)=(a×b)/GCF(a,b)

The Greatest Common Factor(GCF) of (14,24) = 2

Therefore

LCM of (14,24)= (14 × 24) / 2

= 336/2 = 168

LCM of 14 and 24 = 168

### LCM of (14,24) by Method of Listing Multiples

This method is quite simple. Here we write the first few multiples of both the numbers and then find the one which is common and aslo the smallest amongst all.