What is the Least Common Multiple of 94208 and 94225?

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 94225 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 94225, than apply into the LCM equation.

GCF(94208,94225) = 1
LCM(94208,94225) = ( 94208 × 94225) / 1
LCM(94208,94225) = 8876748800 / 1
LCM(94208,94225) = 8876748800

Least Common Multiple (LCM) of 94208 and 94225 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94208 and 94225. First we will calculate the prime factors of 94208 and 94225.

Prime Factorization of 94208

Prime Factorization of 94225

Now multiplying the highest exponent prime factors to calculate the LCM of 94208 and 94225.

LCM(94208,94225) = 2¹² × 23¹ × 5² × 3769¹
LCM(94208,94225) = 8876748800