What is the Least Common Multiple of 96416 and 96428?

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 96416 and 96428 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96416 and 96428, than apply into the LCM equation.

GCF(96416,96428) = 4
LCM(96416,96428) = ( 96416 × 96428) / 4
LCM(96416,96428) = 9297202048 / 4
LCM(96416,96428) = 2324300512

Least Common Multiple (LCM) of 96416 and 96428 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96416 and 96428. First we will calculate the prime factors of 96416 and 96428.

Prime Factorization of 96416

Prime Factorization of 96428

Now multiplying the highest exponent prime factors to calculate the LCM of 96416 and 96428.

LCM(96416,96428) = 2⁵ × 23¹ × 131¹ × 24107¹
LCM(96416,96428) = 2324300512