What is the Least Common Multiple of 980 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 980 and 984 is 241080.
LCM(980,984) = 241080
Least Common Multiple of 980 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 980 and 984, than apply into the LCM equation.
GCF(980,984) = 4
LCM(980,984) = ( 980 × 984) / 4
LCM(980,984) = 964320 / 4
LCM(980,984) = 241080
Least Common Multiple (LCM) of 980 and 984 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 980 and 984. First we will calculate the prime factors of 980 and 984.
Prime Factorization of 980
Prime factors of 980 are 2, 5, 7. Prime factorization of 980 in exponential form is:
980 = 22 × 51 × 72
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 980 and 984.
LCM(980,984) = 23 × 51 × 72 × 31 × 411
LCM(980,984) = 241080
Related Least Common Multiples of 980
- LCM of 980 and 984
- LCM of 980 and 985
- LCM of 980 and 986
- LCM of 980 and 987
- LCM of 980 and 988
- LCM of 980 and 989
- LCM of 980 and 990
- LCM of 980 and 991
- LCM of 980 and 992
- LCM of 980 and 993
- LCM of 980 and 994
- LCM of 980 and 995
- LCM of 980 and 996
- LCM of 980 and 997
- LCM of 980 and 998
- LCM of 980 and 999
- LCM of 980 and 1000
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