Least Common Multiple of 983 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 983 and 987 the smallest integer that is 970221 that is divisible by both numbers.
Least Common Multiple (LCM) of 983 and 987 is 970221.
LCM(983,987) = 970221
LCM of 983 and 987
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 983 and 987 by Prime method
- Least Common Multiple of 983 and 987 with GCF Formula
LCM of 983 and 987 is 970221
Least common multiple can be found by multiplying the highest exponent prime factors of 983 and 987. First we will calculate the prime factors of 983 and 987.
Prime Factorization of 983
| 983 | 983 |
| 1 |
Prime factors of 983 are 983. Prime factorization of 983 in exponential form is:
983 = 9831
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 983 and 987.
LCM(983,987) = 31×71×471×9831
LCM(983,987) = 970221
Factors of 983
List of positive integer factors of 983 that divides 983 without a remainder.
1, 983
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 983 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 983 and 987, than apply into the LCM equation.
GCF(983,987) = 1
LCM(983,987) = ( 983 × 987) / 1
LCM(983,987) = 970221 / 1
LCM(983,987) = 970221
Properties of LCM 983 and 987
(i) The LCM of 987 and 983 is associative
LCM of 983 and 987 = LCM of 987 and 983
Related Least Common Multiples of 983
Related Least Common Multiples of 987
Frequently Asked Questions on LCM of 983 and 987
1. What is the LCM of 983 and 987?
Answer: LCM of 983 and 987 is 970221.
2. What are the Factors of 983?
Answer: Factors of 983 are 1, 983. There are 2 integers that are factors of 983. The greatest factor of 983 is 983.
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 983 and 987?
Answer:
Least Common Multiple of 983 and 987 = 970221
Step 1: Find the prime factorization of 983
983 = 983
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 = 970221 = 3 x 7 x 47 x 983
Step 4: Therefore, the least common multiple of 983 and 987 is 970221.