What is the Least Common Multiple of 96585 and 96597?

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 96585 and 96597 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96585 and 96597, than apply into the LCM equation.

GCF(96585,96597) = 3
LCM(96585,96597) = ( 96585 × 96597) / 3
LCM(96585,96597) = 9329821245 / 3
LCM(96585,96597) = 3109940415

Least Common Multiple (LCM) of 96585 and 96597 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96585 and 96597. First we will calculate the prime factors of 96585 and 96597.

Prime Factorization of 96585

Prime Factorization of 96597

Now multiplying the highest exponent prime factors to calculate the LCM of 96585 and 96597.

LCM(96585,96597) = 3² × 5¹ × 47¹ × 137¹ × 10733¹
LCM(96585,96597) = 3109940415