# What is the LCM of 59 and 29?

LCM of 59 and 29 is the least or the smallest number which is completely (leaving 0 as the remainder) divisible by both 59 and 29.

## Answer: LCM of (59 and 29) is 1171

## Explanation:

The least common multiple is the smallest number which is exactly divisible by both the given numbers.

Methods to Find LCM of 59 and 29

### LCM of 59 and 29 through Common Division Method

Let's do it in stepwise manner:

- Take the numbers 29 and 59 together.
- Now these are to be divided by prime numbers.
- Division will stop once there is no prime number for further division.

### LCM of 59 and 29 through Formula

Formula states: The product of any two numbers 'a' and 'b' is equal to the product of their GCF and LCM.

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

The greatest common factor of (59,29) = 1

Therefore

LCM of 59 and 29 = (59 × 29) / 1

= 1171/1 = 1171

LCM of 59 and 29 = 1171

Irrespective of the method, the solution to our question LCM of 59 and 29 is the same.

### Thus, LCM of (59 and 29) is 1171

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