What is the Least Common Multiple of 96384 and 96388?

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 96384 and 96388 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96384 and 96388, than apply into the LCM equation.

GCF(96384,96388) = 4
LCM(96384,96388) = ( 96384 × 96388) / 4
LCM(96384,96388) = 9290260992 / 4
LCM(96384,96388) = 2322565248

Least Common Multiple (LCM) of 96384 and 96388 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96384 and 96388. First we will calculate the prime factors of 96384 and 96388.

Prime Factorization of 96384

Prime Factorization of 96388

Now multiplying the highest exponent prime factors to calculate the LCM of 96384 and 96388.

LCM(96384,96388) = 2⁷ × 3¹ × 251¹ × 24097¹
LCM(96384,96388) = 2322565248