What is the Least Common Multiple of 94284 and 94300?

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 94284 and 94300 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94284 and 94300, than apply into the LCM equation.

GCF(94284,94300) = 4
LCM(94284,94300) = ( 94284 × 94300) / 4
LCM(94284,94300) = 8890981200 / 4
LCM(94284,94300) = 2222745300

Least Common Multiple (LCM) of 94284 and 94300 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94284 and 94300. First we will calculate the prime factors of 94284 and 94300.

Prime Factorization of 94284

Prime Factorization of 94300

Now multiplying the highest exponent prime factors to calculate the LCM of 94284 and 94300.

LCM(94284,94300) = 2² × 3⁵ × 97¹ × 5² × 23¹ × 41¹
LCM(94284,94300) = 2222745300