What is the Least Common Multiple of 94208 and 94214?

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 94214 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 94214, than apply into the LCM equation.

GCF(94208,94214) = 2
LCM(94208,94214) = ( 94208 × 94214) / 2
LCM(94208,94214) = 8875712512 / 2
LCM(94208,94214) = 4437856256

Least Common Multiple (LCM) of 94208 and 94214 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94208 and 94214. First we will calculate the prime factors of 94208 and 94214.

Prime Factorization of 94208

Prime Factorization of 94214

Now multiplying the highest exponent prime factors to calculate the LCM of 94208 and 94214.

LCM(94208,94214) = 2¹² × 23¹ × 17² × 163¹
LCM(94208,94214) = 4437856256