What is the Least Common Multiple of 96589 and 96607?

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 96589 and 96607 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96589 and 96607, than apply into the LCM equation.

GCF(96589,96607) = 1
LCM(96589,96607) = ( 96589 × 96607) / 1
LCM(96589,96607) = 9331173523 / 1
LCM(96589,96607) = 9331173523

Least Common Multiple (LCM) of 96589 and 96607 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96589 and 96607. First we will calculate the prime factors of 96589 and 96607.

Prime Factorization of 96589

Prime Factorization of 96607

Now multiplying the highest exponent prime factors to calculate the LCM of 96589 and 96607.

LCM(96589,96607) = 96589¹ × 7¹ × 37¹ × 373¹
LCM(96589,96607) = 9331173523