GCF and LCM Calculator Logo

What is the Least Common Multiple of 94387 and 94407?

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 94387 and 94407 is 8910793509.

LCM(94387,94407) = 8910793509

LCM Calculator and
and

Least Common Multiple of 94387 and 94407 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94387 and 94407, than apply into the LCM equation.

GCF(94387,94407) = 1
LCM(94387,94407) = ( 94387 × 94407) / 1
LCM(94387,94407) = 8910793509 / 1
LCM(94387,94407) = 8910793509

Least Common Multiple (LCM) of 94387 and 94407 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94387 and 94407. First we will calculate the prime factors of 94387 and 94407.

Prime Factorization of 94387

Prime factors of 94387 are 37, 2551. Prime factorization of 94387 in exponential form is:

94387 = 371 × 25511

Prime Factorization of 94407

Prime factors of 94407 are 3, 31469. Prime factorization of 94407 in exponential form is:

94407 = 31 × 314691

Now multiplying the highest exponent prime factors to calculate the LCM of 94387 and 94407.

LCM(94387,94407) = 371 × 25511 × 31 × 314691
LCM(94387,94407) = 8910793509