GCF and LCM Calculator Logo

What is the Least Common Multiple of 94330 and 94344?

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 94330 and 94344 is 4449734760.

LCM(94330,94344) = 4449734760

LCM Calculator and
and

Least Common Multiple of 94330 and 94344 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94330 and 94344, than apply into the LCM equation.

GCF(94330,94344) = 2
LCM(94330,94344) = ( 94330 × 94344) / 2
LCM(94330,94344) = 8899469520 / 2
LCM(94330,94344) = 4449734760

Least Common Multiple (LCM) of 94330 and 94344 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94330 and 94344. First we will calculate the prime factors of 94330 and 94344.

Prime Factorization of 94330

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

94330 = 21 × 51 × 94331

Prime Factorization of 94344

Prime factors of 94344 are 2, 3, 3931. Prime factorization of 94344 in exponential form is:

94344 = 23 × 31 × 39311

Now multiplying the highest exponent prime factors to calculate the LCM of 94330 and 94344.

LCM(94330,94344) = 23 × 51 × 94331 × 31 × 39311
LCM(94330,94344) = 4449734760