What is the Least Common Multiple of 96564 and 96576?

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 96564 and 96576 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96564 and 96576, than apply into the LCM equation.

GCF(96564,96576) = 12
LCM(96564,96576) = ( 96564 × 96576) / 12
LCM(96564,96576) = 9325764864 / 12
LCM(96564,96576) = 777147072

Least Common Multiple (LCM) of 96564 and 96576 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96564 and 96576. First we will calculate the prime factors of 96564 and 96576.

Prime Factorization of 96564

Prime Factorization of 96576

Now multiplying the highest exponent prime factors to calculate the LCM of 96564 and 96576.

LCM(96564,96576) = 2⁶ × 3¹ × 13¹ × 619¹ × 503¹
LCM(96564,96576) = 777147072