Least Common Multiple of 979 and 986
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 979 and 986 the smallest integer that is 965294 that is divisible by both numbers.
Least Common Multiple (LCM) of 979 and 986 is 965294.
LCM(979,986) = 965294
LCM of 979 and 986
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 979 and 986 by Prime method
- Least Common Multiple of 979 and 986 with GCF Formula
LCM of 979 and 986 is 965294
Least common multiple can be found by multiplying the highest exponent prime factors of 979 and 986. First we will calculate the prime factors of 979 and 986.
Prime Factorization of 979
| 11 | 979 |
| 89 | 89 |
| 1 |
Prime factors of 979 are 11,89. Prime factorization of 979 in exponential form is:
979 = 111×891
Prime Factorization of 986
| 2 | 986 |
| 17 | 493 |
| 29 | 29 |
| 1 |
Prime factors of 986 are 2, 17,29. Prime factorization of 986 in exponential form is:
986 = 21×171×291
Now multiplying the highest exponent prime factors to calculate the LCM of 979 and 986.
LCM(979,986) = 21×111×171×291×891
LCM(979,986) = 965294
Factors of 979
List of positive integer factors of 979 that divides 979 without a remainder.
1, 11, 89, 979
Factors of 986
List of positive integer factors of 986 that divides 986 without a remainder.
1, 2, 17, 29, 34, 58, 493, 986
Least Common Multiple of 979 and 986 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 979 and 986, than apply into the LCM equation.
GCF(979,986) = 1
LCM(979,986) = ( 979 × 986) / 1
LCM(979,986) = 965294 / 1
LCM(979,986) = 965294
Properties of LCM 979 and 986
(i) The LCM of 986 and 979 is associative
LCM of 979 and 986 = LCM of 986 and 979
Related Least Common Multiples of 979
Related Least Common Multiples of 986
Frequently Asked Questions on LCM of 979 and 986
1. What is the LCM of 979 and 986?
Answer: LCM of 979 and 986 is 965294.
2. What are the Factors of 979?
Answer: Factors of 979 are 1, 11, 89, 979. There are 4 integers that are factors of 979. The greatest factor of 979 is 979.
3. What are the Factors of 986?
Answer: Factors of 986 are 1, 2, 17, 29, 34, 58, 493, 986. There are 8 integers that are factors of 986. The greatest factor of 986 is 986.
4. How to Find the LCM of 979 and 986?
Answer:
Least Common Multiple of 979 and 986 = 965294
Step 1: Find the prime factorization of 979
979 = 11 x 89
Step 2: Find the prime factorization of 986
986 = 2 x 17 x 29
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 965294 = 2 x 11 x 17 x 29 x 89
Step 4: Therefore, the least common multiple of 979 and 986 is 965294.