What is the Least Common Multiple of 94208 and 94212?

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 94208 and 94212 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94208 and 94212, than apply into the LCM equation.

GCF(94208,94212) = 4
LCM(94208,94212) = ( 94208 × 94212) / 4
LCM(94208,94212) = 8875524096 / 4
LCM(94208,94212) = 2218881024

Least Common Multiple (LCM) of 94208 and 94212 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94208 and 94212. First we will calculate the prime factors of 94208 and 94212.

Prime Factorization of 94208

Prime Factorization of 94212

Now multiplying the highest exponent prime factors to calculate the LCM of 94208 and 94212.

LCM(94208,94212) = 2¹² × 23¹ × 3² × 2617¹
LCM(94208,94212) = 2218881024