What is the Least Common Multiple of 94589 and 94607?

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 94589 and 94607 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94589 and 94607, than apply into the LCM equation.

GCF(94589,94607) = 1
LCM(94589,94607) = ( 94589 × 94607) / 1
LCM(94589,94607) = 8948781523 / 1
LCM(94589,94607) = 8948781523

Least Common Multiple (LCM) of 94589 and 94607 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94589 and 94607. First we will calculate the prime factors of 94589 and 94607.

Prime Factorization of 94589

Prime Factorization of 94607

Now multiplying the highest exponent prime factors to calculate the LCM of 94589 and 94607.

LCM(94589,94607) = 11¹ × 8599¹ × 89¹ × 1063¹
LCM(94589,94607) = 8948781523