What is the Least Common Multiple of 96594 and 96609?

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 96594 and 96609 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96594 and 96609, than apply into the LCM equation.

GCF(96594,96609) = 3
LCM(96594,96609) = ( 96594 × 96609) / 3
LCM(96594,96609) = 9331849746 / 3
LCM(96594,96609) = 3110616582

Least Common Multiple (LCM) of 96594 and 96609 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96594 and 96609. First we will calculate the prime factors of 96594 and 96609.

Prime Factorization of 96594

Prime Factorization of 96609

Now multiplying the highest exponent prime factors to calculate the LCM of 96594 and 96609.

LCM(96594,96609) = 2¹ × 3¹ × 17¹ × 947¹ × 32203¹
LCM(96594,96609) = 3110616582