What is the Least Common Multiple of 94200 and 94216?

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 94200 and 94216 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94200 and 94216, than apply into the LCM equation.

GCF(94200,94216) = 8
LCM(94200,94216) = ( 94200 × 94216) / 8
LCM(94200,94216) = 8875147200 / 8
LCM(94200,94216) = 1109393400

Least Common Multiple (LCM) of 94200 and 94216 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94200 and 94216. First we will calculate the prime factors of 94200 and 94216.

Prime Factorization of 94200

Prime Factorization of 94216

Now multiplying the highest exponent prime factors to calculate the LCM of 94200 and 94216.

LCM(94200,94216) = 2³ × 3¹ × 5² × 157¹ × 11777¹
LCM(94200,94216) = 1109393400