GCF and LCM Calculator Logo

What is the Least Common Multiple of 94376 and 94395?

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 94376 and 94395 is 8908622520.

LCM(94376,94395) = 8908622520

LCM Calculator and
and

Least Common Multiple of 94376 and 94395 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94376 and 94395, than apply into the LCM equation.

GCF(94376,94395) = 1
LCM(94376,94395) = ( 94376 × 94395) / 1
LCM(94376,94395) = 8908622520 / 1
LCM(94376,94395) = 8908622520

Least Common Multiple (LCM) of 94376 and 94395 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94376 and 94395. First we will calculate the prime factors of 94376 and 94395.

Prime Factorization of 94376

Prime factors of 94376 are 2, 47, 251. Prime factorization of 94376 in exponential form is:

94376 = 23 × 471 × 2511

Prime Factorization of 94395

Prime factors of 94395 are 3, 5, 7, 29, 31. Prime factorization of 94395 in exponential form is:

94395 = 31 × 51 × 71 × 291 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 94376 and 94395.

LCM(94376,94395) = 23 × 471 × 2511 × 31 × 51 × 71 × 291 × 311
LCM(94376,94395) = 8908622520