In this question, we will see LCM of 60 and 72 by Prime Factorization Method and Common Division Method. Also, some LCM of 60 and 72 related questions and answers.

The LCM of 60 and 72 is 360. LCM is the least common multiple of the two given numbers.

## Methods for Finding LCM of 60 and 72

There are three methods for finding the LCM of 60 and 72. These areas follow:

- By Prime Factorization Method
- By Division Method
- By Common Multiples

### LCM of 60 and 72 By Prime Factorization Method

For finding the LCM of 60 and 72 by prime factorization method we have to do the factors of these two numbers.

Factors of 60

60 = 2X2X3X5

Factors of 72

72 = 2X2X2X3X3

Least Common Multiply = 2X2X2X3X3X5 = 360

Hence the LCM of 60 and 72 by prime factorization method is 360.

### LCM of 60 and 72 By Division Method

For finding the LCM of 60 and 72 by Division Method first of all we will factorize these two numbers and then we will calculate the LCM of these 60, 72 numbers.

Division of 60, 72 numbers.

First we will factorize these numbers by the lowest number. Like these two numbers are even numbers. So, these can be divided by 2.

Then we will divide these numbers by 3, and five and as per the requirements.

So, let’s see the division factors of these quantities.

2X2X2X3X3X5

Hence LCM of 60 and 72 is =2X2X2X3X3X5 = 360.

### LCM of 60 and 72 By Common Multiples

For finding the LCM of 60 and 72 by common multiple, we first will list the multiple of these two numbers. Check below:

Multiple of 60 = 60, 120, 180, 240, 300,** 360**, 420, 480, 540, 600

Multiple of 72 = 72, 144, 213, 288, **360**, 432, 504, 576, 648, 720

Now we will find the common multiple from these multiples.

As we can see 360 is the common multiple from the given multiples of these 60 and 72 numbers.

Hence The LCM of 60 and 72 is 360.

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