# What is the LCM of 87 and 145?

The least number which is exactly divisible by both 87 and 145 is their LCM

## Answer: LCM of (87 and 145) = 435

## Explanation:

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

We can find the LCM of the numbers in many ways the commonly used methods are listed below.

## Methods to Find LCM of 87 and 145

### LCM of 87 and 145 by Common Division Method

- We divide the numbers simultaneously with prime numbers
- Stop it once no prime number is left to divide the given numbers.

### LCM of 87 and 145 by Formula

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

The greatest common factor of (87,145) = 29

Therefore

LCM of 87 and 145 = (87 × 145) / 29

= 12615/29 = 435

LCM of 87 and 145 = 435

### Thus, LCM of (87 and 145)= 435

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