What is the Least Common Multiple of 94599 and 94617?

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 94599 and 94617 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94599 and 94617, than apply into the LCM equation.

GCF(94599,94617) = 9
LCM(94599,94617) = ( 94599 × 94617) / 9
LCM(94599,94617) = 8950673583 / 9
LCM(94599,94617) = 994519287

Least Common Multiple (LCM) of 94599 and 94617 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94599 and 94617. First we will calculate the prime factors of 94599 and 94617.

Prime Factorization of 94599

Prime Factorization of 94617

Now multiplying the highest exponent prime factors to calculate the LCM of 94599 and 94617.

LCM(94599,94617) = 3² × 23¹ × 457¹ × 10513¹
LCM(94599,94617) = 994519287