GCF and LCM Calculator Logo

What is the Least Common Multiple of 94313 and 94324?

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 94313 and 94324 is 8895979412.

LCM(94313,94324) = 8895979412

LCM Calculator and
and

Least Common Multiple of 94313 and 94324 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94313 and 94324, than apply into the LCM equation.

GCF(94313,94324) = 1
LCM(94313,94324) = ( 94313 × 94324) / 1
LCM(94313,94324) = 8895979412 / 1
LCM(94313,94324) = 8895979412

Least Common Multiple (LCM) of 94313 and 94324 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94313 and 94324. First we will calculate the prime factors of 94313 and 94324.

Prime Factorization of 94313

Prime factors of 94313 are 37, 2549. Prime factorization of 94313 in exponential form is:

94313 = 371 × 25491

Prime Factorization of 94324

Prime factors of 94324 are 2, 23581. Prime factorization of 94324 in exponential form is:

94324 = 22 × 235811

Now multiplying the highest exponent prime factors to calculate the LCM of 94313 and 94324.

LCM(94313,94324) = 371 × 25491 × 22 × 235811
LCM(94313,94324) = 8895979412