LCM of 18 and 36 is 36. 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 18 and 36. The answer is 36. 36 is divisible by both 18 and 36. Even 72 is divisible by 18 and 36, however it is not the LCM for 18 and 36. The smaller number than 72 is 36 which is divisible by both 18 and 36. Hence 36 is the Least Common Multiple for 18 and 36. You can refer to LCM for details.
What is LCM of 18 and 36
The Least Common Multiple or Lowest Common Multiple of 18 and 36 is 36.
How to Find LCM of 18 and 36?
LCM of 18 and 36 can be determined using three methods:
- Prime Factorisation
- Division method
- Listing the multiples
LCM of 18 and 36 Using Prime Factorisation Method
In the Prime Factorisation method, the numbers can be expressed as the product of prime numbers. Here, 18 and 36 can be expressed as;
18 = 2 x 3 x 3
36 = 2 x 2 x 3 x 3
LCM (18, 36) = 2 x 2 x 3 x 3 = 36
LCM of 18 and 36 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 |
18 |
36 |
|
3 |
9 |
18 |
|
3 |
3 |
6 |
|
2 |
1 |
2 |
|
x |
1 |
1 |
LCM (18, 36) = 2 x 2 x 3 x 3 = 36
LCM of 18 and 36 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 18 and 36
|
Multiples of 18 |
Multiples of 36 |
|
18 |
36 |
|
36 |
72 |
|
54 |
108 |
LCM (18, 36) = 36
Related Articles
Video Lesson on Applications of LCM
Solved Examples
What is the smallest number that is divisible by both 18 and 36?
Answer: 36 is the smallest number that is divisible by both 18 and 36.
What is the LCM for 2 and 36?
Answer: LCM for 2 and 36 is 36.
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