What is the Least Common Multiple of 982 and 987?
Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.
Least common multiple (LCM) of 982 and 987 is 969234.
LCM(982,987) = 969234
Least Common Multiple of 982 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 982 and 987, than apply into the LCM equation.
GCF(982,987) = 1
LCM(982,987) = ( 982 × 987) / 1
LCM(982,987) = 969234 / 1
LCM(982,987) = 969234
Least Common Multiple (LCM) of 982 and 987 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 982 and 987. First we will calculate the prime factors of 982 and 987.
Prime Factorization of 982
Prime factors of 982 are 2, 491. Prime factorization of 982 in exponential form is:
982 = 21 × 4911
Prime Factorization of 987
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 982 and 987.
LCM(982,987) = 21 × 4911 × 31 × 71 × 471
LCM(982,987) = 969234
Related Least Common Multiples of 982
- LCM of 982 and 986
- LCM of 982 and 987
- LCM of 982 and 988
- LCM of 982 and 989
- LCM of 982 and 990
- LCM of 982 and 991
- LCM of 982 and 992
- LCM of 982 and 993
- LCM of 982 and 994
- LCM of 982 and 995
- LCM of 982 and 996
- LCM of 982 and 997
- LCM of 982 and 998
- LCM of 982 and 999
- LCM of 982 and 1000
- LCM of 982 and 1001
- LCM of 982 and 1002
Related Least Common Multiples of 987
- LCM of 987 and 991
- LCM of 987 and 992
- LCM of 987 and 993
- LCM of 987 and 994
- LCM of 987 and 995
- LCM of 987 and 996
- LCM of 987 and 997
- LCM of 987 and 998
- LCM of 987 and 999
- LCM of 987 and 1000
- LCM of 987 and 1001
- LCM of 987 and 1002
- LCM of 987 and 1003
- LCM of 987 and 1004
- LCM of 987 and 1005
- LCM of 987 and 1006
- LCM of 987 and 1007