What is the Least Common Multiple of 96375 and 96384?

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 96375 and 96384 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96375 and 96384, than apply into the LCM equation.

GCF(96375,96384) = 3
LCM(96375,96384) = ( 96375 × 96384) / 3
LCM(96375,96384) = 9289008000 / 3
LCM(96375,96384) = 3096336000

Least Common Multiple (LCM) of 96375 and 96384 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96375 and 96384. First we will calculate the prime factors of 96375 and 96384.

Prime Factorization of 96375

Prime Factorization of 96384

Now multiplying the highest exponent prime factors to calculate the LCM of 96375 and 96384.

LCM(96375,96384) = 3¹ × 5³ × 257¹ × 2⁷ × 251¹
LCM(96375,96384) = 3096336000