GCF and LCM Calculator Logo

What is the Least Common Multiple of 76989 and 76997?

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 76989 and 76997 is 5927922033.

LCM(76989,76997) = 5927922033

LCM Calculator and
and

Least Common Multiple of 76989 and 76997 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76989 and 76997, than apply into the LCM equation.

GCF(76989,76997) = 1
LCM(76989,76997) = ( 76989 × 76997) / 1
LCM(76989,76997) = 5927922033 / 1
LCM(76989,76997) = 5927922033

Least Common Multiple (LCM) of 76989 and 76997 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76989 and 76997. First we will calculate the prime factors of 76989 and 76997.

Prime Factorization of 76989

Prime factors of 76989 are 3, 11, 2333. Prime factorization of 76989 in exponential form is:

76989 = 31 × 111 × 23331

Prime Factorization of 76997

Prime factors of 76997 are 37, 2081. Prime factorization of 76997 in exponential form is:

76997 = 371 × 20811

Now multiplying the highest exponent prime factors to calculate the LCM of 76989 and 76997.

LCM(76989,76997) = 31 × 111 × 23331 × 371 × 20811
LCM(76989,76997) = 5927922033