What is the Least Common Multiple of 94200 and 94208?

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 94208 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 94208, than apply into the LCM equation.

GCF(94200,94208) = 8
LCM(94200,94208) = ( 94200 × 94208) / 8
LCM(94200,94208) = 8874393600 / 8
LCM(94200,94208) = 1109299200

Least Common Multiple (LCM) of 94200 and 94208 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94200 and 94208. First we will calculate the prime factors of 94200 and 94208.

Prime Factorization of 94200

Prime Factorization of 94208

Now multiplying the highest exponent prime factors to calculate the LCM of 94200 and 94208.

LCM(94200,94208) = 2¹² × 3¹ × 5² × 157¹ × 23¹
LCM(94200,94208) = 1109299200