What is the Least Common Multiple of 96588 and 96608?

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 96588 and 96608 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96588 and 96608, than apply into the LCM equation.

GCF(96588,96608) = 4
LCM(96588,96608) = ( 96588 × 96608) / 4
LCM(96588,96608) = 9331173504 / 4
LCM(96588,96608) = 2332793376

Least Common Multiple (LCM) of 96588 and 96608 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96588 and 96608. First we will calculate the prime factors of 96588 and 96608.

Prime Factorization of 96588

Prime Factorization of 96608

Now multiplying the highest exponent prime factors to calculate the LCM of 96588 and 96608.

LCM(96588,96608) = 2⁵ × 3² × 2683¹ × 3019¹
LCM(96588,96608) = 2332793376