GCF and LCM Calculator Logo

What is the Least Common Multiple of 94092 and 94112?

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 94092 and 94112 is 2213796576.

LCM(94092,94112) = 2213796576

LCM Calculator and
and

Least Common Multiple of 94092 and 94112 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94092 and 94112, than apply into the LCM equation.

GCF(94092,94112) = 4
LCM(94092,94112) = ( 94092 × 94112) / 4
LCM(94092,94112) = 8855186304 / 4
LCM(94092,94112) = 2213796576

Least Common Multiple (LCM) of 94092 and 94112 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94092 and 94112. First we will calculate the prime factors of 94092 and 94112.

Prime Factorization of 94092

Prime factors of 94092 are 2, 3, 7841. Prime factorization of 94092 in exponential form is:

94092 = 22 × 31 × 78411

Prime Factorization of 94112

Prime factors of 94112 are 2, 17, 173. Prime factorization of 94112 in exponential form is:

94112 = 25 × 171 × 1731

Now multiplying the highest exponent prime factors to calculate the LCM of 94092 and 94112.

LCM(94092,94112) = 25 × 31 × 78411 × 171 × 1731
LCM(94092,94112) = 2213796576