What is the Least Common Multiple of 96584 and 96594?

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 96584 and 96594 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96584 and 96594, than apply into the LCM equation.

GCF(96584,96594) = 2
LCM(96584,96594) = ( 96584 × 96594) / 2
LCM(96584,96594) = 9329434896 / 2
LCM(96584,96594) = 4664717448

Least Common Multiple (LCM) of 96584 and 96594 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96584 and 96594. First we will calculate the prime factors of 96584 and 96594.

Prime Factorization of 96584

Prime Factorization of 96594

Now multiplying the highest exponent prime factors to calculate the LCM of 96584 and 96594.

LCM(96584,96594) = 2³ × 12073¹ × 3¹ × 17¹ × 947¹
LCM(96584,96594) = 4664717448