What is the Least Common Multiple of 94785 and 94800?

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 94785 and 94800 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94785 and 94800, than apply into the LCM equation.

GCF(94785,94800) = 15
LCM(94785,94800) = ( 94785 × 94800) / 15
LCM(94785,94800) = 8985618000 / 15
LCM(94785,94800) = 599041200

Least Common Multiple (LCM) of 94785 and 94800 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94785 and 94800. First we will calculate the prime factors of 94785 and 94800.

Prime Factorization of 94785

Prime Factorization of 94800

Now multiplying the highest exponent prime factors to calculate the LCM of 94785 and 94800.

LCM(94785,94800) = 3¹ × 5² × 71¹ × 89¹ × 2⁴ × 79¹
LCM(94785,94800) = 599041200