What is the Least Common Multiple of 978 and 985?
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 978 and 985 is 963330.
LCM(978,985) = 963330
Least Common Multiple of 978 and 985 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 978 and 985, than apply into the LCM equation.
GCF(978,985) = 1
LCM(978,985) = ( 978 × 985) / 1
LCM(978,985) = 963330 / 1
LCM(978,985) = 963330
Least Common Multiple (LCM) of 978 and 985 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 978 and 985. First we will calculate the prime factors of 978 and 985.
Prime Factorization of 978
Prime factors of 978 are 2, 3, 163. Prime factorization of 978 in exponential form is:
978 = 21 × 31 × 1631
Prime Factorization of 985
Prime factors of 985 are 5, 197. Prime factorization of 985 in exponential form is:
985 = 51 × 1971
Now multiplying the highest exponent prime factors to calculate the LCM of 978 and 985.
LCM(978,985) = 21 × 31 × 1631 × 51 × 1971
LCM(978,985) = 963330
Related Least Common Multiples of 978
- LCM of 978 and 982
- LCM of 978 and 983
- LCM of 978 and 984
- LCM of 978 and 985
- LCM of 978 and 986
- LCM of 978 and 987
- LCM of 978 and 988
- LCM of 978 and 989
- LCM of 978 and 990
- LCM of 978 and 991
- LCM of 978 and 992
- LCM of 978 and 993
- LCM of 978 and 994
- LCM of 978 and 995
- LCM of 978 and 996
- LCM of 978 and 997
- LCM of 978 and 998
Related Least Common Multiples of 985
- LCM of 985 and 989
- LCM of 985 and 990
- LCM of 985 and 991
- LCM of 985 and 992
- LCM of 985 and 993
- LCM of 985 and 994
- LCM of 985 and 995
- LCM of 985 and 996
- LCM of 985 and 997
- LCM of 985 and 998
- LCM of 985 and 999
- LCM of 985 and 1000
- LCM of 985 and 1001
- LCM of 985 and 1002
- LCM of 985 and 1003
- LCM of 985 and 1004
- LCM of 985 and 1005