Least Common Multiple of 8979 and 8987
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 8987 the smallest integer that is 80694273 that is divisible by both numbers.
Least Common Multiple (LCM) of 8979 and 8987 is 80694273.
LCM(8979,8987) = 80694273
LCM of 8979 and 8987
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8979 and 8987 by Prime method
- Least Common Multiple of 8979 and 8987 with GCF Formula
LCM of 8979 and 8987 is 80694273
Least common multiple can be found by multiplying the highest exponent prime factors of 8979 and 8987. First we will calculate the prime factors of 8979 and 8987.
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 8987
| 11 | 8987 |
| 19 | 817 |
| 43 | 43 |
| 1 |
Prime factors of 8987 are 11, 19,43. Prime factorization of 8987 in exponential form is:
8987 = 111×191×431
Now multiplying the highest exponent prime factors to calculate the LCM of 8979 and 8987.
LCM(8979,8987) = 31×111×191×411×431×731
LCM(8979,8987) = 80694273
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 8987
List of positive integer factors of 8987 that divides 8987 without a remainder.
1, 11, 19, 43, 209, 473, 817, 8987
Least Common Multiple of 8979 and 8987 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 8987, than apply into the LCM equation.
GCF(8979,8987) = 1
LCM(8979,8987) = ( 8979 × 8987) / 1
LCM(8979,8987) = 80694273 / 1
LCM(8979,8987) = 80694273
Properties of LCM 8979 and 8987
(i) The LCM of 8987 and 8979 is associative
LCM of 8979 and 8987 = LCM of 8987 and 8979
Related Least Common Multiples of 8979
Related Least Common Multiples of 8987
Frequently Asked Questions on LCM of 8979 and 8987
1. What is the LCM of 8979 and 8987?
Answer: LCM of 8979 and 8987 is 80694273.
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 8987?
Answer: Factors of 8987 are 1, 11, 19, 43, 209, 473, 817, 8987. There are 8 integers that are factors of 8987. The greatest factor of 8987 is 8987.
4. How to Find the LCM of 8979 and 8987?
Answer:
Least Common Multiple of 8979 and 8987 = 80694273
Step 1: Find the prime factorization of 8979
8979 = 3 x 41 x 73
Step 2: Find the prime factorization of 8987
8987 = 11 x 19 x 43
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 80694273 = 3 x 11 x 19 x 41 x 43 x 73
Step 4: Therefore, the least common multiple of 8979 and 8987 is 80694273.