What is the Least Common Multiple of 964 and 978?
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 964 and 978 is 471396.
LCM(964,978) = 471396
Least Common Multiple of 964 and 978 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 964 and 978, than apply into the LCM equation.
GCF(964,978) = 2
LCM(964,978) = ( 964 × 978) / 2
LCM(964,978) = 942792 / 2
LCM(964,978) = 471396
Least Common Multiple (LCM) of 964 and 978 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 964 and 978. First we will calculate the prime factors of 964 and 978.
Prime Factorization of 964
Prime factors of 964 are 2, 241. Prime factorization of 964 in exponential form is:
964 = 22 × 2411
Prime Factorization of 978
Prime factors of 978 are 2, 3, 163. Prime factorization of 978 in exponential form is:
978 = 21 × 31 × 1631
Now multiplying the highest exponent prime factors to calculate the LCM of 964 and 978.
LCM(964,978) = 22 × 2411 × 31 × 1631
LCM(964,978) = 471396
Related Least Common Multiples of 964
- LCM of 964 and 968
- LCM of 964 and 969
- LCM of 964 and 970
- LCM of 964 and 971
- LCM of 964 and 972
- LCM of 964 and 973
- LCM of 964 and 974
- LCM of 964 and 975
- LCM of 964 and 976
- LCM of 964 and 977
- LCM of 964 and 978
- LCM of 964 and 979
- LCM of 964 and 980
- LCM of 964 and 981
- LCM of 964 and 982
- LCM of 964 and 983
- LCM of 964 and 984
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