Least Common Multiple of 979 and 987
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 987 the smallest integer that is 966273 that is divisible by both numbers.
Least Common Multiple (LCM) of 979 and 987 is 966273.
LCM(979,987) = 966273
LCM of 979 and 987
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 979 and 987 by Prime method
- Least Common Multiple of 979 and 987 with GCF Formula
LCM of 979 and 987 is 966273
Least common multiple can be found by multiplying the highest exponent prime factors of 979 and 987. First we will calculate the prime factors of 979 and 987.
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 987
| 3 | 987 |
| 7 | 329 |
| 47 | 47 |
| 1 |
Prime factors of 987 are 3, 7,47. Prime factorization of 987 in exponential form is:
987 = 31×71×471
Now multiplying the highest exponent prime factors to calculate the LCM of 979 and 987.
LCM(979,987) = 31×71×111×471×891
LCM(979,987) = 966273
Factors of 979
List of positive integer factors of 979 that divides 979 without a remainder.
1, 11, 89, 979
Factors of 987
List of positive integer factors of 987 that divides 987 without a remainder.
1, 3, 7, 21, 47, 141, 329, 987
Least Common Multiple of 979 and 987 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 987, than apply into the LCM equation.
GCF(979,987) = 1
LCM(979,987) = ( 979 × 987) / 1
LCM(979,987) = 966273 / 1
LCM(979,987) = 966273
Properties of LCM 979 and 987
(i) The LCM of 987 and 979 is associative
LCM of 979 and 987 = LCM of 987 and 979
Related Least Common Multiples of 979
Related Least Common Multiples of 987
Frequently Asked Questions on LCM of 979 and 987
1. What is the LCM of 979 and 987?
Answer: LCM of 979 and 987 is 966273.
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 987?
Answer: Factors of 987 are 1, 3, 7, 21, 47, 141, 329, 987. There are 8 integers that are factors of 987. The greatest factor of 987 is 987.
4. How to Find the LCM of 979 and 987?
Answer:
Least Common Multiple of 979 and 987 = 966273
Step 1: Find the prime factorization of 979
979 = 11 x 89
Step 2: Find the prime factorization of 987
987 = 3 x 7 x 47
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 966273 = 3 x 7 x 11 x 47 x 89
Step 4: Therefore, the least common multiple of 979 and 987 is 966273.