# What is the LCM of 6 and 14?

LCM of 6 and 14 is the least number which is exactly divisible by both 6 and 14

## Answer: LCM (6,14): 42

## Lets see how to find the LCM of 6 and 14

## Explanation:

The samllest number possible which is perfectly dividble by the given numbers is the least common multiple of the given numbers.

## Methods to Find LCM of 6 and 14

Let us use the following methods to find the LCM of 6 and 14

- Division Method
- Formula

### LCM (6,14): Common Division Method

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

### LCM (6,14): Formula Method

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

The Greatest common factor(GCF) of (6,14) = 2

Therefore

LCM of 6 and 14 = (6 × 14) / 2

= 84/2 = 42

LCM (6,14): 42

Therefore, LCM (6,14): 42

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