Least Common Multiple of 8979 and 8983
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8979 and 8983 the smallest integer that is 80658357 that is divisible by both numbers.
Least Common Multiple (LCM) of 8979 and 8983 is 80658357.
LCM(8979,8983) = 80658357
LCM of 8979 and 8983
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8979 and 8983 by Prime method
- Least Common Multiple of 8979 and 8983 with GCF Formula
LCM of 8979 and 8983 is 80658357
Least common multiple can be found by multiplying the highest exponent prime factors of 8979 and 8983. First we will calculate the prime factors of 8979 and 8983.
Prime Factorization of 8979
| 3 | 8979 |
| 41 | 2993 |
| 73 | 73 |
| 1 |
Prime factors of 8979 are 3, 41,73. Prime factorization of 8979 in exponential form is:
8979 = 31×411×731
Prime Factorization of 8983
| 13 | 8983 |
| 691 | 691 |
| 1 |
Prime factors of 8983 are 13,691. Prime factorization of 8983 in exponential form is:
8983 = 131×6911
Now multiplying the highest exponent prime factors to calculate the LCM of 8979 and 8983.
LCM(8979,8983) = 31×131×411×731×6911
LCM(8979,8983) = 80658357
Factors of 8979
List of positive integer factors of 8979 that divides 8979 without a remainder.
1, 3, 41, 73, 123, 219, 2993, 8979
Factors of 8983
List of positive integer factors of 8983 that divides 8983 without a remainder.
1, 13, 691, 8983
Least Common Multiple of 8979 and 8983 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8979 and 8983, than apply into the LCM equation.
GCF(8979,8983) = 1
LCM(8979,8983) = ( 8979 × 8983) / 1
LCM(8979,8983) = 80658357 / 1
LCM(8979,8983) = 80658357
Properties of LCM 8979 and 8983
(i) The LCM of 8983 and 8979 is associative
LCM of 8979 and 8983 = LCM of 8983 and 8979
Related Least Common Multiples of 8979
Related Least Common Multiples of 8983
Frequently Asked Questions on LCM of 8979 and 8983
1. What is the LCM of 8979 and 8983?
Answer: LCM of 8979 and 8983 is 80658357.
2. What are the Factors of 8979?
Answer: Factors of 8979 are 1, 3, 41, 73, 123, 219, 2993, 8979. There are 8 integers that are factors of 8979. The greatest factor of 8979 is 8979.
3. What are the Factors of 8983?
Answer: Factors of 8983 are 1, 13, 691, 8983. There are 4 integers that are factors of 8983. The greatest factor of 8983 is 8983.
4. How to Find the LCM of 8979 and 8983?
Answer:
Least Common Multiple of 8979 and 8983 = 80658357
Step 1: Find the prime factorization of 8979
8979 = 3 x 41 x 73
Step 2: Find the prime factorization of 8983
8983 = 13 x 691
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 80658357 = 3 x 13 x 41 x 73 x 691
Step 4: Therefore, the least common multiple of 8979 and 8983 is 80658357.