What is the Least Common Multiple of 976 and 980?
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 976 and 980 is 239120.
LCM(976,980) = 239120
Least Common Multiple of 976 and 980 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 976 and 980, than apply into the LCM equation.
GCF(976,980) = 4
LCM(976,980) = ( 976 × 980) / 4
LCM(976,980) = 956480 / 4
LCM(976,980) = 239120
Least Common Multiple (LCM) of 976 and 980 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 976 and 980. First we will calculate the prime factors of 976 and 980.
Prime Factorization of 976
Prime factors of 976 are 2, 61. Prime factorization of 976 in exponential form is:
976 = 24 × 611
Prime Factorization of 980
Prime factors of 980 are 2, 5, 7. Prime factorization of 980 in exponential form is:
980 = 22 × 51 × 72
Now multiplying the highest exponent prime factors to calculate the LCM of 976 and 980.
LCM(976,980) = 24 × 611 × 51 × 72
LCM(976,980) = 239120
Related Least Common Multiples of 976
- LCM of 976 and 980
- LCM of 976 and 981
- LCM of 976 and 982
- LCM of 976 and 983
- LCM of 976 and 984
- LCM of 976 and 985
- LCM of 976 and 986
- LCM of 976 and 987
- LCM of 976 and 988
- LCM of 976 and 989
- LCM of 976 and 990
- LCM of 976 and 991
- LCM of 976 and 992
- LCM of 976 and 993
- LCM of 976 and 994
- LCM of 976 and 995
- LCM of 976 and 996
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