GCF and LCM Calculator Logo

What is the Least Common Multiple of 94423 and 94432?

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 94423 and 94432 is 8916552736.

LCM(94423,94432) = 8916552736

LCM Calculator and
and

Least Common Multiple of 94423 and 94432 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94423 and 94432, than apply into the LCM equation.

GCF(94423,94432) = 1
LCM(94423,94432) = ( 94423 × 94432) / 1
LCM(94423,94432) = 8916552736 / 1
LCM(94423,94432) = 8916552736

Least Common Multiple (LCM) of 94423 and 94432 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94423 and 94432. First we will calculate the prime factors of 94423 and 94432.

Prime Factorization of 94423

Prime factors of 94423 are 7, 41, 47. Prime factorization of 94423 in exponential form is:

94423 = 72 × 411 × 471

Prime Factorization of 94432

Prime factors of 94432 are 2, 13, 227. Prime factorization of 94432 in exponential form is:

94432 = 25 × 131 × 2271

Now multiplying the highest exponent prime factors to calculate the LCM of 94423 and 94432.

LCM(94423,94432) = 72 × 411 × 471 × 25 × 131 × 2271
LCM(94423,94432) = 8916552736