What is the Least Common Multiple of 96528 and 96543?

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 96528 and 96543 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96528 and 96543, than apply into the LCM equation.

GCF(96528,96543) = 3
LCM(96528,96543) = ( 96528 × 96543) / 3
LCM(96528,96543) = 9319102704 / 3
LCM(96528,96543) = 3106367568

Least Common Multiple (LCM) of 96528 and 96543 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96528 and 96543. First we will calculate the prime factors of 96528 and 96543.

Prime Factorization of 96528

Prime Factorization of 96543

Now multiplying the highest exponent prime factors to calculate the LCM of 96528 and 96543.

LCM(96528,96543) = 2⁴ × 3² × 2011¹ × 17¹ × 631¹
LCM(96528,96543) = 3106367568