What is the Least Common Multiple of 96509 and 96528?

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 96509 and 96528 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96509 and 96528, than apply into the LCM equation.

GCF(96509,96528) = 1
LCM(96509,96528) = ( 96509 × 96528) / 1
LCM(96509,96528) = 9315820752 / 1
LCM(96509,96528) = 9315820752

Least Common Multiple (LCM) of 96509 and 96528 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96509 and 96528. First we will calculate the prime factors of 96509 and 96528.

Prime Factorization of 96509

Prime Factorization of 96528

Now multiplying the highest exponent prime factors to calculate the LCM of 96509 and 96528.

LCM(96509,96528) = 7¹ × 17¹ × 811¹ × 2⁴ × 3¹ × 2011¹
LCM(96509,96528) = 9315820752