What is the Least Common Multiple of 979 and 984?
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 979 and 984 is 963336.
LCM(979,984) = 963336
Least Common Multiple of 979 and 984 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 979 and 984, than apply into the LCM equation.
GCF(979,984) = 1
LCM(979,984) = ( 979 × 984) / 1
LCM(979,984) = 963336 / 1
LCM(979,984) = 963336
Least Common Multiple (LCM) of 979 and 984 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 979 and 984. First we will calculate the prime factors of 979 and 984.
Prime Factorization of 979
Prime factors of 979 are 11, 89. Prime factorization of 979 in exponential form is:
979 = 111 × 891
Prime Factorization of 984
Prime factors of 984 are 2, 3, 41. Prime factorization of 984 in exponential form is:
984 = 23 × 31 × 411
Now multiplying the highest exponent prime factors to calculate the LCM of 979 and 984.
LCM(979,984) = 111 × 891 × 23 × 31 × 411
LCM(979,984) = 963336
Related Least Common Multiples of 979
- LCM of 979 and 983
- LCM of 979 and 984
- LCM of 979 and 985
- LCM of 979 and 986
- LCM of 979 and 987
- LCM of 979 and 988
- LCM of 979 and 989
- LCM of 979 and 990
- LCM of 979 and 991
- LCM of 979 and 992
- LCM of 979 and 993
- LCM of 979 and 994
- LCM of 979 and 995
- LCM of 979 and 996
- LCM of 979 and 997
- LCM of 979 and 998
- LCM of 979 and 999
Related Least Common Multiples of 984
- LCM of 984 and 988
- LCM of 984 and 989
- LCM of 984 and 990
- LCM of 984 and 991
- LCM of 984 and 992
- LCM of 984 and 993
- LCM of 984 and 994
- LCM of 984 and 995
- LCM of 984 and 996
- LCM of 984 and 997
- LCM of 984 and 998
- LCM of 984 and 999
- LCM of 984 and 1000
- LCM of 984 and 1001
- LCM of 984 and 1002
- LCM of 984 and 1003
- LCM of 984 and 1004