What is the Least Common Multiple of 96393 and 96399?

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 96393 and 96399 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96393 and 96399, than apply into the LCM equation.

GCF(96393,96399) = 3
LCM(96393,96399) = ( 96393 × 96399) / 3
LCM(96393,96399) = 9292188807 / 3
LCM(96393,96399) = 3097396269

Least Common Multiple (LCM) of 96393 and 96399 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96393 and 96399. First we will calculate the prime factors of 96393 and 96399.

Prime Factorization of 96393

Prime Factorization of 96399

Now multiplying the highest exponent prime factors to calculate the LCM of 96393 and 96399.

LCM(96393,96399) = 3² × 11¹ × 23¹ × 127¹ × 10711¹
LCM(96393,96399) = 3097396269