LCM of 63 and 21 is 63. The Least Common multiple or Lowest common multiple simply known as LCM is the smallest or the least positive integer that is divisible by the given set of numbers. In the given set of numbers 63 and 21, 63 is the first (least or smallest) number that is common in the set of multiples of 63 and 21. 126, 189… are also the common multiples of 21 and 63. However 63 is the smallest. Hence 63 is the LCM which is also known as LCD, Least Common Divisor for 63 and 21. You can read more on LCM for further details.
What is LCM of 63 and 21
The Least Common Multiple or Lowest Common Multiple of 63 and 21 is 63.
How to Find LCM of 63 and 21?
LCM of 63 and 21 can be determined using three methods:
- Prime Factorisation
- Division method
- Listing the multiples
LCM of 63 and 21 Using Prime Factorisation Method
In the Prime Factorisation method, the numbers can be expressed as the product of prime numbers. Here, 63 and 21 can be expressed as;
63 = 3 x 3 x 7
21 = 3 x 7
LCM (63, 21) = 3 x 3 x 7 = 63
LCM of 63 and 21 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 |
63 |
21 |
|
3 |
21 |
7 |
|
7 |
7 |
1 |
|
x |
1 |
1 |
LCM (63, 21) = 3 x 3 x 7 = 63
LCM of 63 and 21 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 63 and 21
|
Multiples of 63 |
Multiples of 21 |
|
63 |
21 |
|
126 |
42 |
|
189 |
63 |
|
256 |
84 |
|
320 |
105 |
LCM (63, 21) = 63
Related Articles
Video Lesson on Applications of LCM
Solved Examples
- What is the smallest number that is divisible by both 63 and 21?
Answer: 63 is the smallest number that is divisible by both 63 and 21.
What is the LCM for 3, 63 and 21?
Answer: Least Common Multiple for 3, 63 and 21 is 63 as 3 is the smallest factor of 63 and 21.
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