What is the Least Common Multiple of 96576 and 96588?

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 96576 and 96588 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96576 and 96588, than apply into the LCM equation.

GCF(96576,96588) = 12
LCM(96576,96588) = ( 96576 × 96588) / 12
LCM(96576,96588) = 9328082688 / 12
LCM(96576,96588) = 777340224

Least Common Multiple (LCM) of 96576 and 96588 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96576 and 96588. First we will calculate the prime factors of 96576 and 96588.

Prime Factorization of 96576

Prime Factorization of 96588

Now multiplying the highest exponent prime factors to calculate the LCM of 96576 and 96588.

LCM(96576,96588) = 2⁶ × 3² × 503¹ × 2683¹
LCM(96576,96588) = 777340224