Least Common Multiple of 8974 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 8974 and 8979 the smallest integer that is 80577546 that is divisible by both numbers.
Least Common Multiple (LCM) of 8974 and 8979 is 80577546.
LCM(8974,8979) = 80577546
LCM of 8974 and 8979
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8974 and 8979 by Prime method
- Least Common Multiple of 8974 and 8979 with GCF Formula
LCM of 8974 and 8979 is 80577546
Least common multiple can be found by multiplying the highest exponent prime factors of 8974 and 8979. First we will calculate the prime factors of 8974 and 8979.
Prime Factorization of 8974
| 2 | 8974 |
| 7 | 4487 |
| 641 | 641 |
| 1 |
Prime factors of 8974 are 2, 7,641. Prime factorization of 8974 in exponential form is:
8974 = 21×71×6411
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 8974 and 8979.
LCM(8974,8979) = 21×31×71×411×731×6411
LCM(8974,8979) = 80577546
Factors of 8974
List of positive integer factors of 8974 that divides 8974 without a remainder.
1, 2, 7, 14, 641, 1282, 4487, 8974
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 8974 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 8974 and 8979, than apply into the LCM equation.
GCF(8974,8979) = 1
LCM(8974,8979) = ( 8974 × 8979) / 1
LCM(8974,8979) = 80577546 / 1
LCM(8974,8979) = 80577546
Properties of LCM 8974 and 8979
(i) The LCM of 8979 and 8974 is associative
LCM of 8974 and 8979 = LCM of 8979 and 8974
Related Least Common Multiples of 8974
Related Least Common Multiples of 8979
Frequently Asked Questions on LCM of 8974 and 8979
1. What is the LCM of 8974 and 8979?
Answer: LCM of 8974 and 8979 is 80577546.
2. What are the Factors of 8974?
Answer: Factors of 8974 are 1, 2, 7, 14, 641, 1282, 4487, 8974. There are 8 integers that are factors of 8974. The greatest factor of 8974 is 8974.
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 8974 and 8979?
Answer:
Least Common Multiple of 8974 and 8979 = 80577546
Step 1: Find the prime factorization of 8974
8974 = 2 x 7 x 641
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 = 80577546 = 2 x 3 x 7 x 41 x 73 x 641
Step 4: Therefore, the least common multiple of 8974 and 8979 is 80577546.