Least Common Multiple of 63 and 79
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 79 the smallest integer that is 4977 that is divisible by both numbers.
Least Common Multiple (LCM) of 63 and 79 is 4977.
LCM(63,79) = 4977
LCM of 63 and 79
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 63 and 79 by Prime method
- Least Common Multiple of 63 and 79 with GCF Formula
LCM of 63 and 79 is 4977
Least common multiple can be found by multiplying the highest exponent prime factors of 63 and 79. First we will calculate the prime factors of 63 and 79.
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 79
| 79 | 79 |
| 1 |
Prime factors of 79 are 79. Prime factorization of 79 in exponential form is:
79 = 791
Now multiplying the highest exponent prime factors to calculate the LCM of 63 and 79.
LCM(63,79) = 32×71×791
LCM(63,79) = 4977
Factors of 63
List of positive integer factors of 63 that divides 63 without a remainder.
1, 3, 7, 9, 21, 63
Factors of 79
List of positive integer factors of 79 that divides 79 without a remainder.
1, 79
Least Common Multiple of 63 and 79 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 79, than apply into the LCM equation.
GCF(63,79) = 1
LCM(63,79) = ( 63 × 79) / 1
LCM(63,79) = 4977 / 1
LCM(63,79) = 4977
Properties of LCM 63 and 79
(i) The LCM of 79 and 63 is associative
LCM of 63 and 79 = LCM of 79 and 63
Related Least Common Multiples of 63
Related Least Common Multiples of 79
Frequently Asked Questions on LCM of 63 and 79
1. What is the LCM of 63 and 79?
Answer: LCM of 63 and 79 is 4977.
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 79?
Answer: Factors of 79 are 1, 79. There are 2 integers that are factors of 79. The greatest factor of 79 is 79.
4. How to Find the LCM of 63 and 79?
Answer:
Least Common Multiple of 63 and 79 = 4977
Step 1: Find the prime factorization of 63
63 = 3 x 3 x 7
Step 2: Find the prime factorization of 79
79 = 79
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 4977 = 3 x 3 x 7 x 79
Step 4: Therefore, the least common multiple of 63 and 79 is 4977.
