LCM of 6 and 9 is 18. LCM, also known as Least Common multiple or Lowest common multiple, is the smallest or the least positive integer that is divisible by the given set of numbers. Consider the example for finding the LCM of 6 and 9. The answer is 18. 18 is divisible by both 6 and 9. Even 36 is divisible by 6 and 9, however it is not the LCM for 6 and 9. The smaller number than 36 is 18 which is divisible by both 6 and 9. Hence 18 is the Least Common Multiple for 6 and 9. You can refer to LCM for more information.
What is LCM of 6 and 9
The Least Common Multiple or Lowest Common Multiple of 6 and 9 is 18.
How to Find LCM of 6 and 9?
LCM of 6 and 9 can be determined using three methods:
- Prime Factorisation
- Division method
- Listing the multiples
LCM of 6 and 9 Using Prime Factorisation Method
In the Prime Factorisation method, the numbers can be expressed as the product of prime numbers. Here, 6 and 9 can be expressed as;
6 = 3 x 2
9 = 3 x 3
LCM (6, 9) = 2 x 3 x 3 = 18
LCM of 6 and 9 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 |
6 |
9 |
|
2 |
2 |
3 |
|
3 |
1 |
3 |
|
x |
1 |
1 |
Hence, LCM (6, 9) = 2 x 3 x 3 = 18
LCM of 6 and 9 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 6 and 9;
|
Multiples of 6 |
Multiples of 9 |
|
6 |
9 |
|
12 |
18 |
|
18 |
27 |
|
24 |
36 |
LCM (6, 9) = 18
Related Articles
Video Lesson on Applications of LCM
Solved Examples
1.What is the smallest number that is divisible by both 6 and 9?
Answer: 18 is the smallest number that is divisible by both 6 and 9.
2. What is the LCM for 3, 6 and 9?
Answer : 18 is the LCM for 3, 6, and 9.
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