Least Common Multiple of 987 and 989
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 987 and 989 the smallest integer that is 976143 that is divisible by both numbers.
Least Common Multiple (LCM) of 987 and 989 is 976143.
LCM(987,989) = 976143
LCM of 987 and 989
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 987 and 989 by Prime method
- Least Common Multiple of 987 and 989 with GCF Formula
LCM of 987 and 989 is 976143
Least common multiple can be found by multiplying the highest exponent prime factors of 987 and 989. First we will calculate the prime factors of 987 and 989.
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
Prime Factorization of 989
| 23 | 989 |
| 43 | 43 |
| 1 |
Prime factors of 989 are 23,43. Prime factorization of 989 in exponential form is:
989 = 231×431
Now multiplying the highest exponent prime factors to calculate the LCM of 987 and 989.
LCM(987,989) = 31×71×231×431×471
LCM(987,989) = 976143
Factors of 987
List of positive integer factors of 987 that divides 987 without a remainder.
1, 3, 7, 21, 47, 141, 329, 987
Factors of 989
List of positive integer factors of 989 that divides 989 without a remainder.
1, 23, 43, 989
Least Common Multiple of 987 and 989 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 987 and 989, than apply into the LCM equation.
GCF(987,989) = 1
LCM(987,989) = ( 987 × 989) / 1
LCM(987,989) = 976143 / 1
LCM(987,989) = 976143
Properties of LCM 987 and 989
(i) The LCM of 989 and 987 is associative
LCM of 987 and 989 = LCM of 989 and 987
Related Least Common Multiples of 987
Related Least Common Multiples of 989
Frequently Asked Questions on LCM of 987 and 989
1. What is the LCM of 987 and 989?
Answer: LCM of 987 and 989 is 976143.
2. 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.
3. What are the Factors of 989?
Answer: Factors of 989 are 1, 23, 43, 989. There are 4 integers that are factors of 989. The greatest factor of 989 is 989.
4. How to Find the LCM of 987 and 989?
Answer:
Least Common Multiple of 987 and 989 = 976143
Step 1: Find the prime factorization of 987
987 = 3 x 7 x 47
Step 2: Find the prime factorization of 989
989 = 23 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 = 976143 = 3 x 7 x 23 x 43 x 47
Step 4: Therefore, the least common multiple of 987 and 989 is 976143.