LCM of 7 and 7

LCM of 7 and 7 is 7. Least Common Multiple or the Lowest Common Multiple is the common multiple for a given set of numbers. Here 7 and 7 is the given set of numbers, and since it is the same number, the common multiple will be 7. The LCM is also known as LCD, Least Common Divisor and for (7, 7) is 7. You can refer to the LCM for more understanding. 

What is LCM of 7 and 7

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

lcm of 7 and 7

How to Find LCM of 7 and 7?

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

  • Prime Factorisation
  • Division method
  • Listing the multiples

LCM of 7 and 7 Using Prime Factorisation Method

In the Prime Factorisation method, the numbers can be expressed as the product of prime numbers. Here, 7 is the only number that is repeated and that can be expressed as;

7 = 7 x 1

7 = 7 x 1

LCM (7, 7) = 7 x 1 = 7

LCM of 7 and 7 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. 

7

7

7

x

1

1

The division is complete. Hence, LCM (7, 7) = 7 x 1 = 7

LCM of 7 and 7 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

Multiples of 7

Multiples of 7

7

7

14

14

21

21

LCM (7, 7) = 7

Related Articles

Video Lesson on Applications of LCM

Solved Examples 

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

Answer: 7 is the smallest number that is divisible by (7, 7). 

What is the GCF for 7 and 7? 

Answer: GCF for 7 and 7 is 7.

Frequently Asked Questions on LCM of 7 and 7

Q1

What is the LCM of 7 and 7?

The LCM of 7 and 7 is 7.
Q2

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

Yes. LCM of 7 and 7 is 7 and HCF of 7 and 7 is 7.
Q3

Why is 14 not the least common factor of 7 and 7?

14 is greater than 7 and hence it is not the least common factor of  7 and 7.

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