GCF and LCM Calculator Logo

What is the Least Common Multiple of 94578 and 94591?

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 94578 and 94591 is 8946227598.

LCM(94578,94591) = 8946227598

LCM Calculator and
and

Least Common Multiple of 94578 and 94591 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94578 and 94591, than apply into the LCM equation.

GCF(94578,94591) = 1
LCM(94578,94591) = ( 94578 × 94591) / 1
LCM(94578,94591) = 8946227598 / 1
LCM(94578,94591) = 8946227598

Least Common Multiple (LCM) of 94578 and 94591 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94578 and 94591. First we will calculate the prime factors of 94578 and 94591.

Prime Factorization of 94578

Prime factors of 94578 are 2, 3, 11, 1433. Prime factorization of 94578 in exponential form is:

94578 = 21 × 31 × 111 × 14331

Prime Factorization of 94591

Prime factors of 94591 are 7, 13513. Prime factorization of 94591 in exponential form is:

94591 = 71 × 135131

Now multiplying the highest exponent prime factors to calculate the LCM of 94578 and 94591.

LCM(94578,94591) = 21 × 31 × 111 × 14331 × 71 × 135131
LCM(94578,94591) = 8946227598