What is the Least Common Multiple of 94200 and 94205?

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 94205 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 94205, than apply into the LCM equation.

GCF(94200,94205) = 5
LCM(94200,94205) = ( 94200 × 94205) / 5
LCM(94200,94205) = 8874111000 / 5
LCM(94200,94205) = 1774822200

Least Common Multiple (LCM) of 94200 and 94205 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94200 and 94205. First we will calculate the prime factors of 94200 and 94205.

Prime Factorization of 94200

Prime Factorization of 94205

Now multiplying the highest exponent prime factors to calculate the LCM of 94200 and 94205.

LCM(94200,94205) = 2³ × 3¹ × 5² × 157¹ × 83¹ × 227¹
LCM(94200,94205) = 1774822200