What is the Least Common Multiple of 76978 and 76988?
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 76978 and 76988 is 2963191132.
LCM(76978,76988) = 2963191132
Least Common Multiple of 76978 and 76988 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76978 and 76988, than apply into the LCM equation.
GCF(76978,76988) = 2
LCM(76978,76988) = ( 76978 × 76988) / 2
LCM(76978,76988) = 5926382264 / 2
LCM(76978,76988) = 2963191132
Least Common Multiple (LCM) of 76978 and 76988 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 76978 and 76988. First we will calculate the prime factors of 76978 and 76988.
Prime Factorization of 76978
Prime factors of 76978 are 2, 11, 3499. Prime factorization of 76978 in exponential form is:
76978 = 21 × 111 × 34991
Prime Factorization of 76988
Prime factors of 76988 are 2, 19, 1013. Prime factorization of 76988 in exponential form is:
76988 = 22 × 191 × 10131
Now multiplying the highest exponent prime factors to calculate the LCM of 76978 and 76988.
LCM(76978,76988) = 22 × 111 × 34991 × 191 × 10131
LCM(76978,76988) = 2963191132
Related Least Common Multiples of 76978
- LCM of 76978 and 76982
- LCM of 76978 and 76983
- LCM of 76978 and 76984
- LCM of 76978 and 76985
- LCM of 76978 and 76986
- LCM of 76978 and 76987
- LCM of 76978 and 76988
- LCM of 76978 and 76989
- LCM of 76978 and 76990
- LCM of 76978 and 76991
- LCM of 76978 and 76992
- LCM of 76978 and 76993
- LCM of 76978 and 76994
- LCM of 76978 and 76995
- LCM of 76978 and 76996
- LCM of 76978 and 76997
- LCM of 76978 and 76998
Related Least Common Multiples of 76988
- LCM of 76988 and 76992
- LCM of 76988 and 76993
- LCM of 76988 and 76994
- LCM of 76988 and 76995
- LCM of 76988 and 76996
- LCM of 76988 and 76997
- LCM of 76988 and 76998
- LCM of 76988 and 76999
- LCM of 76988 and 77000
- LCM of 76988 and 77001
- LCM of 76988 and 77002
- LCM of 76988 and 77003
- LCM of 76988 and 77004
- LCM of 76988 and 77005
- LCM of 76988 and 77006
- LCM of 76988 and 77007
- LCM of 76988 and 77008