Least Common Multiple of 63 and 73
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 73 the smallest integer that is 4599 that is divisible by both numbers.
Least Common Multiple (LCM) of 63 and 73 is 4599.
LCM(63,73) = 4599
LCM of 63 and 73
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 63 and 73 by Prime method
- Least Common Multiple of 63 and 73 with GCF Formula
LCM of 63 and 73 is 4599
Least common multiple can be found by multiplying the highest exponent prime factors of 63 and 73. First we will calculate the prime factors of 63 and 73.
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 73
| 73 | 73 |
| 1 |
Prime factors of 73 are 73. Prime factorization of 73 in exponential form is:
73 = 731
Now multiplying the highest exponent prime factors to calculate the LCM of 63 and 73.
LCM(63,73) = 32×71×731
LCM(63,73) = 4599
Factors of 63
List of positive integer factors of 63 that divides 63 without a remainder.
1, 3, 7, 9, 21, 63
Factors of 73
List of positive integer factors of 73 that divides 73 without a remainder.
1, 73
Least Common Multiple of 63 and 73 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 73, than apply into the LCM equation.
GCF(63,73) = 1
LCM(63,73) = ( 63 × 73) / 1
LCM(63,73) = 4599 / 1
LCM(63,73) = 4599
Properties of LCM 63 and 73
(i) The LCM of 73 and 63 is associative
LCM of 63 and 73 = LCM of 73 and 63
Related Least Common Multiples of 63
Related Least Common Multiples of 73
Frequently Asked Questions on LCM of 63 and 73
1. What is the LCM of 63 and 73?
Answer: LCM of 63 and 73 is 4599.
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 73?
Answer: Factors of 73 are 1, 73. There are 2 integers that are factors of 73. The greatest factor of 73 is 73.
4. How to Find the LCM of 63 and 73?
Answer:
Least Common Multiple of 63 and 73 = 4599
Step 1: Find the prime factorization of 63
63 = 3 x 3 x 7
Step 2: Find the prime factorization of 73
73 = 73
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 4599 = 3 x 3 x 7 x 73
Step 4: Therefore, the least common multiple of 63 and 73 is 4599.
