What is the Least Common Multiple of 76974 and 76994?
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 76974 and 76994 is 2963268078.
LCM(76974,76994) = 2963268078
Least Common Multiple of 76974 and 76994 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76974 and 76994, than apply into the LCM equation.
GCF(76974,76994) = 2
LCM(76974,76994) = ( 76974 × 76994) / 2
LCM(76974,76994) = 5926536156 / 2
LCM(76974,76994) = 2963268078
Least Common Multiple (LCM) of 76974 and 76994 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 76974 and 76994. First we will calculate the prime factors of 76974 and 76994.
Prime Factorization of 76974
Prime factors of 76974 are 2, 3, 12829. Prime factorization of 76974 in exponential form is:
76974 = 21 × 31 × 128291
Prime Factorization of 76994
Prime factors of 76994 are 2, 137, 281. Prime factorization of 76994 in exponential form is:
76994 = 21 × 1371 × 2811
Now multiplying the highest exponent prime factors to calculate the LCM of 76974 and 76994.
LCM(76974,76994) = 21 × 31 × 128291 × 1371 × 2811
LCM(76974,76994) = 2963268078
Related Least Common Multiples of 76974
- LCM of 76974 and 76978
- LCM of 76974 and 76979
- LCM of 76974 and 76980
- LCM of 76974 and 76981
- LCM of 76974 and 76982
- LCM of 76974 and 76983
- LCM of 76974 and 76984
- LCM of 76974 and 76985
- LCM of 76974 and 76986
- LCM of 76974 and 76987
- LCM of 76974 and 76988
- LCM of 76974 and 76989
- LCM of 76974 and 76990
- LCM of 76974 and 76991
- LCM of 76974 and 76992
- LCM of 76974 and 76993
- LCM of 76974 and 76994
Related Least Common Multiples of 76994
- LCM of 76994 and 76998
- LCM of 76994 and 76999
- LCM of 76994 and 77000
- LCM of 76994 and 77001
- LCM of 76994 and 77002
- LCM of 76994 and 77003
- LCM of 76994 and 77004
- LCM of 76994 and 77005
- LCM of 76994 and 77006
- LCM of 76994 and 77007
- LCM of 76994 and 77008
- LCM of 76994 and 77009
- LCM of 76994 and 77010
- LCM of 76994 and 77011
- LCM of 76994 and 77012
- LCM of 76994 and 77013
- LCM of 76994 and 77014