What is the Least Common Multiple of 94275 and 94284?

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 94275 and 94284 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94275 and 94284, than apply into the LCM equation.

GCF(94275,94284) = 9
LCM(94275,94284) = ( 94275 × 94284) / 9
LCM(94275,94284) = 8888624100 / 9
LCM(94275,94284) = 987624900

Least Common Multiple (LCM) of 94275 and 94284 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94275 and 94284. First we will calculate the prime factors of 94275 and 94284.

Prime Factorization of 94275

Prime Factorization of 94284

Now multiplying the highest exponent prime factors to calculate the LCM of 94275 and 94284.

LCM(94275,94284) = 3⁵ × 5² × 419¹ × 2² × 97¹
LCM(94275,94284) = 987624900