LCM of 63 and 81 is 567. LCM defines the least number which is exactly divisible by two or more numbers. Students are advised to follow the article HCF and LCM to learn the technique of finding the highest common factor and lowest common factor of given numbers more effectively. A detailed explanation of how to verify the HCF and LCM of given numbers is provided in accordance with students’ understanding capacity. Let us learn how to find the least common multiple of 63 and 81 in a simple method here.
What is LCM of 63 and 81?
The Least Common Multiple of 63 and 81 is 567.
How to Find LCM of 63 and 81?
LCM of 63 and 81 can be determined using three methods:
- Prime Factorisation
- Division method
- Listing the multiples
LCM of 63 and 81 Using Prime Factorisation Method
In this method, the numbers can be expressed as the product of prime numbers. Hence 63 and 81 can be expressed as;
63 = 3 × 3 × 7
81 = 3 × 3 × 3 × 3
LCM (63, 81) = 3 × 3 × 3 × 3 × 7 = 567
LCM of 63 and 81 Using Division Method
In the division method, we divide the numbers 63 and 81 by their prime factors until we get the result as one in the complete row to calculate their LCM. The product of these divisors represents the least common multiple of 63 and 81.
| 3 | 63 | 81 |
| 3 | 21 | 27 |
| 3 | 7 | 9 |
| 3 | 7 | 3 |
| 7 | 7 | 1 |
| x | 1 | 1 |
No more further division can be done.
Hence, LCM (63, 81) = 3 × 3 × 3 × 3 × 7 = 567
LCM of 63 and 81 Using Listing the Multiples
In this method, we list out the multiples of 63 and 81 to find their LCM. The below table shows the multiples of 63 and 81.
| Multiples of 63 | Multiples of 81 |
| 63 | 81 |
| 126 | 162 |
| 189 | 243 |
| 252 | 324 |
| 315 | 405 |
| 378 | 486 |
| 441 | 567 |
| 504 | 648 |
| 567 | 729 |
| 630 | 810 |
LCM (63, 81) = 567
Related Articles
Prime Factorisation and Division Method for LCM and HCF
Video Lesson on Applications of LCM
Solved Examples
Q. 1: What is the smallest number that is divisible by both 63 and 81?
Solution: 567 is the smallest number that is divisible by both 63 and 81.
Q. 2: The GCD and LCM of two numbers are 9 and 567. If one number is 81, calculate the other number.
Solution: Let the other number be q.
We know that;
GCD × LCM = 81 × q
q = (GCD × LCM) / 81
q = (9 × 567) / 81
q = 63
Hence the other number is 63.
Frequently Asked Questions on LCM of 63 and 81
What is the LCM of 63 and 81?
Is the LCM of 63 and 81 the same as the HCF of 63 and 81?
566 is the LCM of 63 and 81. True or False.
Find the GCF if the LCM of 63 and 81 is 567.
LCM × GCF = 63 × 81
Given
LCM = 567
567 × GCF = 63 × 81
GCF = 9
Find the LCM of 63 and 81 by Prime Factorisation.
63 = 3 × 3 × 7
81 = 3 × 3 × 3 × 3
LCM (63, 81) = 3 × 3 × 3 × 3 × 7 = 567
Thus the LCM of 63 and 81 by Prime Factorisation is 567
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