GCF and LCM Calculator Logo

What is the Least Common Multiple of 94316 and 94330?

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 94316 and 94330 is 4448414140.

LCM(94316,94330) = 4448414140

LCM Calculator and
and

Least Common Multiple of 94316 and 94330 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94316 and 94330, than apply into the LCM equation.

GCF(94316,94330) = 2
LCM(94316,94330) = ( 94316 × 94330) / 2
LCM(94316,94330) = 8896828280 / 2
LCM(94316,94330) = 4448414140

Least Common Multiple (LCM) of 94316 and 94330 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94316 and 94330. First we will calculate the prime factors of 94316 and 94330.

Prime Factorization of 94316

Prime factors of 94316 are 2, 17, 19, 73. Prime factorization of 94316 in exponential form is:

94316 = 22 × 171 × 191 × 731

Prime Factorization of 94330

Prime factors of 94330 are 2, 5, 9433. Prime factorization of 94330 in exponential form is:

94330 = 21 × 51 × 94331

Now multiplying the highest exponent prime factors to calculate the LCM of 94316 and 94330.

LCM(94316,94330) = 22 × 171 × 191 × 731 × 51 × 94331
LCM(94316,94330) = 4448414140