LCM of 27 and 45

LCM of 27 and 45 is 135. The Least Common multiple or Lowest common multiple simply known as LCM is the smallest or the least positive integer that is divisible by the given set of numbers. In the given set of numbers 27 and 45, 135 is the first(least or smallest) number that is common in the set of multiples of 27 and 45. The LCM is also known as LCD, Least Common Divisor. You can use the LCM.

What is LCM of 27 and 45

The Least Common Multiple or Lowest Common Multiple of 27 and 45 is 135.

lcm of 27 and 45

How to Find LCM of 27 and 45?

LCM of 27 and 45 can be determined using three methods:

  • Prime Factorisation
  • Division method
  • Listing the multiples

LCM of 27 and 45 Using Prime Factorisation Method

In the Prime Factorisation method, the numbers can be expressed as the product of prime numbers. Here, 27 and 45 can be expressed as;

27 = 3 × 3 × 3

45 = 3 × 3 × 5

LCM (27, 45) = 3 × 3 × 3 × 5 = 135

LCM of 27 and 45 Using Division Method

In the Division Method, the given set of numbers are written in the same row separated by a comma. These numbers are divided with the smallest number that divides all, until no further division is possible or only when prime numbers are left. 

3

27

45

3

9

15

3

3

5

5

1

5

×

1

1

LCM (27, 45) = 3 × 3 × 3 × 5 = 135

LCM of 27 and 45 Using Listing the Multiples

By listing all the multiples of given numbers, we can identify the first/smallest/least common multiple, which is the LCM. Below is the list of multiples for 27 and 45

Multiples of 27

Multiples of 45

27

45

54

90

81

135

108

180

135

225

162

270

LCM (27, 45) = 135

Related Articles

Video Lesson on Applications of LCM

Solved Examples 

What is the smallest number that is divisible by both 27 and 45?

Answer: 135 is the smallest number that is divisible by both 27 and 45. 

What is the LCM for 3, 9, 27 and 45? 

Answer: LCM for 3, 9, 27 and 45 is 135. We now know that 135 is the LCM of 27 and 45. It is also the LCM for 3, 9, 27 and 45 as 3 and 9 are factors of 27 and 45.

Frequently Asked Questions on LCM of 27 and 45

Q1

What is the LCM of 27 and 45?

The LCM of 27 and 45 is 135.
Q2

Is the LCM of 27 and 45 the same as the Highest Common Factor of 27 and 45?

No. LCM of 27 and 45 is 135 and the Highest Common Factor of 27 and 45 is 9.
Q3

What is the common factor of 27 and 45?

1, 3 and 9 are the common factors of  27 and 45.
Q4

What are the first 3 common multiples of 27 and 45?

The first three common multiples of 27 and 45 are 135, 270, and 405.
Q5

Is the LCM of 3 and 27 the same as the LCM of 3 and 45?

No. LCM of 3 and 27 is 27, whereas the LCM of 3 and 45 is 45. They are not the same.

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