What is the Least Common Multiple of 77960 and 77980?
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 77960 and 77980 is 303966040.
LCM(77960,77980) = 303966040
Least Common Multiple of 77960 and 77980 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77960 and 77980, than apply into the LCM equation.
GCF(77960,77980) = 20
LCM(77960,77980) = ( 77960 × 77980) / 20
LCM(77960,77980) = 6079320800 / 20
LCM(77960,77980) = 303966040
Least Common Multiple (LCM) of 77960 and 77980 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 77960 and 77980. First we will calculate the prime factors of 77960 and 77980.
Prime Factorization of 77960
Prime factors of 77960 are 2, 5, 1949. Prime factorization of 77960 in exponential form is:
77960 = 23 × 51 × 19491
Prime Factorization of 77980
Prime factors of 77980 are 2, 5, 7, 557. Prime factorization of 77980 in exponential form is:
77980 = 22 × 51 × 71 × 5571
Now multiplying the highest exponent prime factors to calculate the LCM of 77960 and 77980.
LCM(77960,77980) = 23 × 51 × 19491 × 71 × 5571
LCM(77960,77980) = 303966040
Related Least Common Multiples of 77960
- LCM of 77960 and 77964
- LCM of 77960 and 77965
- LCM of 77960 and 77966
- LCM of 77960 and 77967
- LCM of 77960 and 77968
- LCM of 77960 and 77969
- LCM of 77960 and 77970
- LCM of 77960 and 77971
- LCM of 77960 and 77972
- LCM of 77960 and 77973
- LCM of 77960 and 77974
- LCM of 77960 and 77975
- LCM of 77960 and 77976
- LCM of 77960 and 77977
- LCM of 77960 and 77978
- LCM of 77960 and 77979
- LCM of 77960 and 77980
Related Least Common Multiples of 77980
- LCM of 77980 and 77984
- LCM of 77980 and 77985
- LCM of 77980 and 77986
- LCM of 77980 and 77987
- LCM of 77980 and 77988
- LCM of 77980 and 77989
- LCM of 77980 and 77990
- LCM of 77980 and 77991
- LCM of 77980 and 77992
- LCM of 77980 and 77993
- LCM of 77980 and 77994
- LCM of 77980 and 77995
- LCM of 77980 and 77996
- LCM of 77980 and 77997
- LCM of 77980 and 77998
- LCM of 77980 and 77999
- LCM of 77980 and 78000