LCM of 18 and 63 is 126. LCM, which is Least Common Multiple or Lowest Common Multiple, is the smallest positive integer that is divisible by the given set of numbers. Consider the example for finding the LCM of 18 and 63. The answer is 126. 126 is divisible by both 18 and 63. Even 252 is divisible by 18 and 63, however it is not the LCM for 18 and 63. The smaller number than 252 is 126 which is divisible by both 18 and 63. Hence 126 is the Least Common Multiple for 18 and 63. You can use the Prime Factorization and Division method to find the LCM of any 2 numbers.
What is LCM of 18 and 63
The Least Common Multiple or Lowest Common Multiple of 18 and 63 is 126.
How to Find LCM of 18 and 63?
LCM of 18 and 63 can be determined using three methods:
- Prime Factorisation
- Division method
- Listing the multiples
LCM of 18 and 63 Using Prime Factorisation Method
In the Prime Factorisation method, the numbers 18 and 63 can be expressed as;
18 = 2 × 3 × 3
63 = 3 × 3 × 7
The LCM is obtained by common and uncommon factors of 18 and 63.
LCM (18, 63) = 2 × 3 × 3 × 7 = 126
LCM of 18 and 63 Using Division Method
In the Division Method, the numbers 18 and 63 are divided together by common prime divisors. The product of all the prime divisors, of 18 and 63 forms the LCM.
|
2 |
18 |
63 |
|
3 |
9 |
21 |
|
3 |
3 |
7 |
|
7 |
1 |
7 |
|
× |
1 |
1 |
LCM (18, 63) = 2 × 3 × 3 × 7 = 126
LCM of 18 and 63 Using Listing the Multiples
By listing all the multiples of 18 and 63, we can identify the LCM. Below is the list of multiples for 18 and 63
Multiples of 18:
18, 36, 54, 72, 90, 108, 126, 144, 162, 180, 198…
Multiples of 63:
63, 126, 189, 252…
LCM (18, 63) = 126
Related Articles
Video Lesson on Applications of LCM
Solved Examples
What is the smallest number that is divisible by both 18 and 63?
Answer: 126 is the smallest number that is divisible by both 18 and 63.
What is the LCM for 3, 9, 18 and 63?
Answer: LCM for 3, 9, 18 and 63 is 126 as 3 and 9 are also the factors of 18 and 63.
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