What is the Least Common Multiple of 96608 and 96624?

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 96608 and 96624 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96608 and 96624, than apply into the LCM equation.

GCF(96608,96624) = 16
LCM(96608,96624) = ( 96608 × 96624) / 16
LCM(96608,96624) = 9334651392 / 16
LCM(96608,96624) = 583415712

Least Common Multiple (LCM) of 96608 and 96624 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96608 and 96624. First we will calculate the prime factors of 96608 and 96624.

Prime Factorization of 96608

Prime Factorization of 96624

Now multiplying the highest exponent prime factors to calculate the LCM of 96608 and 96624.

LCM(96608,96624) = 2⁵ × 3019¹ × 3² × 11¹ × 61¹
LCM(96608,96624) = 583415712