What is the Least Common Multiple of 96288 and 96303?

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 96288 and 96303 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96288 and 96303, than apply into the LCM equation.

GCF(96288,96303) = 3
LCM(96288,96303) = ( 96288 × 96303) / 3
LCM(96288,96303) = 9272823264 / 3
LCM(96288,96303) = 3090941088

Least Common Multiple (LCM) of 96288 and 96303 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96288 and 96303. First we will calculate the prime factors of 96288 and 96303.

Prime Factorization of 96288

Prime Factorization of 96303

Now multiplying the highest exponent prime factors to calculate the LCM of 96288 and 96303.

LCM(96288,96303) = 2⁵ × 3¹ × 17¹ × 59¹ × 47¹ × 683¹
LCM(96288,96303) = 3090941088