Least Common Multiple of 63 and 81
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 63 and 81 the smallest integer that is 567 that is divisible by both numbers.
Least Common Multiple (LCM) of 63 and 81 is 567.
LCM(63,81) = 567
LCM of 63 and 81
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 63 and 81 by Prime method
- Least Common Multiple of 63 and 81 with GCF Formula
LCM of 63 and 81 is 567
Least common multiple can be found by multiplying the highest exponent prime factors of 63 and 81. First we will calculate the prime factors of 63 and 81.
Prime Factorization of 63
| 3 | 63 |
| 3 | 21 |
| 7 | 7 |
| 1 |
Prime factors of 63 are 3,7. Prime factorization of 63 in exponential form is:
63 = 32×71
Prime Factorization of 81
| 3 | 81 |
| 3 | 27 |
| 3 | 9 |
| 3 | 3 |
| 1 |
Prime factors of 81 are 3. Prime factorization of 81 in exponential form is:
81 = 34
Now multiplying the highest exponent prime factors to calculate the LCM of 63 and 81.
LCM(63,81) = 34×71
LCM(63,81) = 567
Factors of 63
List of positive integer factors of 63 that divides 63 without a remainder.
1, 3, 7, 9, 21, 63
Factors of 81
List of positive integer factors of 81 that divides 81 without a remainder.
1, 3, 9, 27, 81
Least Common Multiple of 63 and 81 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63 and 81, than apply into the LCM equation.
GCF(63,81) = 9
LCM(63,81) = ( 63 × 81) / 9
LCM(63,81) = 5103 / 9
LCM(63,81) = 567
Properties of LCM 63 and 81
(i) The LCM of 81 and 63 is associative
LCM of 63 and 81 = LCM of 81 and 63
Related Least Common Multiples of 63
Related Least Common Multiples of 81
Frequently Asked Questions on LCM of 63 and 81
1. What is the LCM of 63 and 81?
Answer: LCM of 63 and 81 is 567.
2. What are the Factors of 63?
Answer: Factors of 63 are 1, 3, 7, 9, 21, 63. There are 6 integers that are factors of 63. The greatest factor of 63 is 63.
3. What are the Factors of 81?
Answer: Factors of 81 are 1, 3, 9, 27, 81. There are 5 integers that are factors of 81. The greatest factor of 81 is 81.
4. How to Find the LCM of 63 and 81?
Answer:
Least Common Multiple of 63 and 81 = 567
Step 1: Find the prime factorization of 63
63 = 3 x 3 x 7
Step 2: Find the prime factorization of 81
81 = 3 x 3 x 3 x 3
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 567 = 3 x 3 x 3 x 3 x 7
Step 4: Therefore, the least common multiple of 63 and 81 is 567.
