Least Common Multiple of 8975 and 8979
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8975 and 8979 the smallest integer that is 80586525 that is divisible by both numbers.
Least Common Multiple (LCM) of 8975 and 8979 is 80586525.
LCM(8975,8979) = 80586525
LCM of 8975 and 8979
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8975 and 8979 by Prime method
- Least Common Multiple of 8975 and 8979 with GCF Formula
LCM of 8975 and 8979 is 80586525
Least common multiple can be found by multiplying the highest exponent prime factors of 8975 and 8979. First we will calculate the prime factors of 8975 and 8979.
Prime Factorization of 8975
| 5 | 8975 |
| 5 | 1795 |
| 359 | 359 |
| 1 |
Prime factors of 8975 are 5,359. Prime factorization of 8975 in exponential form is:
8975 = 52×3591
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
Now multiplying the highest exponent prime factors to calculate the LCM of 8975 and 8979.
LCM(8975,8979) = 31×52×411×731×3591
LCM(8975,8979) = 80586525
Factors of 8975
List of positive integer factors of 8975 that divides 8975 without a remainder.
1, 5, 25, 359, 1795, 8975
Factors of 8979
List of positive integer factors of 8979 that divides 8979 without a remainder.
1, 3, 41, 73, 123, 219, 2993, 8979
Least Common Multiple of 8975 and 8979 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8975 and 8979, than apply into the LCM equation.
GCF(8975,8979) = 1
LCM(8975,8979) = ( 8975 × 8979) / 1
LCM(8975,8979) = 80586525 / 1
LCM(8975,8979) = 80586525
Properties of LCM 8975 and 8979
(i) The LCM of 8979 and 8975 is associative
LCM of 8975 and 8979 = LCM of 8979 and 8975
Related Least Common Multiples of 8975
Related Least Common Multiples of 8979
Frequently Asked Questions on LCM of 8975 and 8979
1. What is the LCM of 8975 and 8979?
Answer: LCM of 8975 and 8979 is 80586525.
2. What are the Factors of 8975?
Answer: Factors of 8975 are 1, 5, 25, 359, 1795, 8975. There are 6 integers that are factors of 8975. The greatest factor of 8975 is 8975.
3. 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.
4. How to Find the LCM of 8975 and 8979?
Answer:
Least Common Multiple of 8975 and 8979 = 80586525
Step 1: Find the prime factorization of 8975
8975 = 5 x 5 x 359
Step 2: Find the prime factorization of 8979
8979 = 3 x 41 x 73
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 80586525 = 3 x 5 x 5 x 41 x 73 x 359
Step 4: Therefore, the least common multiple of 8975 and 8979 is 80586525.