LCM of 4 and 4 is 4. Least Common Multiple or the Lowest Common Multiple is the common multiple for a given set of numbers. Here 4 and 4 is the given set of numbers, and since it is the same number, the common multiple will be 4. The LCM is also known as LCD, Least Common Divisor and for (4, 4) is 4. You can refer to the LCM for more understanding.
What is LCM of 4 and 4
The Least Common Multiple or Lowest Common Multiple of 4 and 4 is 4.
How to Find LCM of 4 and 4?
LCM of 4 and 4 can be determined using three methods:
- Prime Factorisation
- Division method
- Listing the multiples
LCM of 4 and 4 Using Prime Factorisation Method
When 4 is expressed as the product of prime numbers, it would be 2 and 2.
4 = 2 x 2
4 = 2 x 2
LCM (4, 4) = 2 x 2 = 4
LCM of 4 and 4 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 | 4 | 4 |
2 | 2 | 2 |
x | 1 | 1 |
The division is complete. Hence, LCM (4, 4) = 2 x 2 = 4
LCM of 4 and 4 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 4
Multiples of 4 | Multiples of 4 |
4 | 4 |
8 | 8 |
12 | 12 |
LCM (4, 4) = 4
Related Articles
Video Lesson on Applications of LCM
Solved Examples
What is the smallest number that is divisible by both 4 and 4?
Answer: 4 is the smallest number that is divisible by (4, 4).
What is the GCF for 4 and 4?
Answer: GCF for 4 and 4 is 4.
Frequently Asked Questions on LCM of 4 and 4
Q1
What is the LCM of 4 and 4?
The LCM of 4 and 4 is 4.
Q2
Is the LCM of 4 and 4 the same as the HCF of 4 and 4?
Yes. Least Common Multiple of 4 and 4 is 4 and Highest Common Factor of 4 and 4 is 4.
Q3
Why is 8 not the least common factor of 4 and 4?
8 is greater than 4 and hence it is not the least common factor of 4 and 4.
