What is the Least Common Multiple of 96384 and 96396?

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 96396 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 96396, than apply into the LCM equation.

GCF(96384,96396) = 12
LCM(96384,96396) = ( 96384 × 96396) / 12
LCM(96384,96396) = 9291032064 / 12
LCM(96384,96396) = 774252672

Least Common Multiple (LCM) of 96384 and 96396 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96384 and 96396. First we will calculate the prime factors of 96384 and 96396.

Prime Factorization of 96384

Prime Factorization of 96396

Now multiplying the highest exponent prime factors to calculate the LCM of 96384 and 96396.

LCM(96384,96396) = 2⁷ × 3¹ × 251¹ × 29¹ × 277¹
LCM(96384,96396) = 774252672