# What is the LCM of 28,36,45 and 60?

LCM of 28, 36, 45 and 60 is the smallest number, which divides all of them exactly without leaving a remainder.

## Answer: LCM of 28, 36, 45, and 60 is 1260.

Least Common Multiple of 28, 36, 45, and 60 is the smallest number exactly divisible by all of them without any remainder.

## Explanation:

Let us see how to calculate it below:

### LCM of 28, 36, 45, and 60 by Division Method:

In this division method, we divide 28, 36, 45, and 60 simultaneously with prime numbers and stop it when we don't have a prime number to divide them further.

<<LCM(28,36,45,60) = 1260 include before the last line >>

<<file name :LCM-of-28-36-45-and-60>>

<<Caption LCM of 28, 36, 45, and 60 >>

### LCM of 28, 36, 45, and 60 using Prime Factorization:

Write all the given numbers as the product of its prime factors

Prime factorization of **28** = 2 x 2 x 7 = 2^{2} x 7,

**36** = 2 x 2 x 3 x 3 = 2^{2} x 3^{2},

**45** = 3 x 3 x 5 = 3^{2} x 5 , and

**60** = 2 x 2 x 3 x 5 = 2^{2} x 3 x 5

The prime factors 2 and 3 occur twice whereas the prime factor 5 and 7 occur one time each in the prime factorization.

So, the product of all these prime factors is 2^{2} x 3^{2} x 7 x 5= 1260