What is the Least Common Multiple of 94100 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 of 94100 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 94100 and 94112, than apply into the LCM equation.

GCF(94100,94112) = 4
LCM(94100,94112) = ( 94100 × 94112) / 4
LCM(94100,94112) = 8855939200 / 4
LCM(94100,94112) = 2213984800

Least Common Multiple (LCM) of 94100 and 94112 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94100 and 94112. First we will calculate the prime factors of 94100 and 94112.

Prime Factorization of 94100

Prime Factorization of 94112

Now multiplying the highest exponent prime factors to calculate the LCM of 94100 and 94112.

LCM(94100,94112) = 2⁵ × 5² × 941¹ × 17¹ × 173¹
LCM(94100,94112) = 2213984800