LCM of 7 and 18

LCM of 7 and 18 is 126. The Least Common multiple or Lowest common multiple or LCD -Least Common Divisor mostly 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 7 and 18, 126 is the first(least or smallest) number that is common in the set of multiples of 7 and 18. You can find the LCM using the methods mentioned in the Prime Factorization and Division method

What is LCM of 7 and 18

The Least Common Multiple or Lowest Common Multiple of 7 and 13 is 126.

lcm of 7 and 18

How to Find LCM of 7 and 18?

LCM of 7 and 18 can be determined using three methods:

  • Prime Factorisation
  • Division method
  • Listing the multiples

LCM of 7 and 18 Using Prime Factorisation Method

In the Prime Factorisation method, the numbers can be expressed as the product of prime numbers. Here, 7 and 18 can be expressed as;

7 = 7 × 1

18 = 2 × 3 × 3

LCM (7, 18) = 2 × 3 × 3 × 7 = 126

LCM of 7 and 18 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. 

2

7

18

3

7

9

3

7

3

7

7

1

×

1

1

Hence, LCM (7, 18) = 2 × 3 × 3 × 7 = 126

LCM of 7 and 18 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 7 and 18

Multiples of 7:

7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, 98, 105, 112, 119, 126

Multiples of 18

18, 36, 54, 72, 90, 108, 126, 144, 162…

LCM (7, 18) = 126

Related Articles

Video Lesson on Applications of LCM

Solved Examples 

What is the smallest number that is divisible by both 7 and 13?

Answer: 126 is the smallest number that is divisible by both 7 and 13. 

What is the LCM for 1, 7 and 13? 

Answer: LCM for 1, 7 and 13 is 126 as 1 is a factor for any number.

Frequently Asked Questions on LCM of 7 and 18

Q1

What is the LCM of 7 and 18?

The LCM of 7 and 18 is 126.
Q2

Is the LCM of 7 and 18 the same as the Highest Common Factor of 7 and 13?

No. LCM of 7 and 18 is 126 and Highest Common Factor of 7 and 13 is 1.
Q3

What is the common factor of 7 and 18?

1 is the common factor of 7 and 18.
Q4

What are the first 3 common multiples of 7 and 18?

The first three common multiples of 7 and 18 are 126, 252, and 504.
Q5

Is the LCM of 7 and 21 same as the LCM of 9 and 18?

No. LCM of 7 and 14 is 21, whereas the LCM of 9 and 18 is 18. They are not the same.

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