What is the Least Common Multiple of 96288 and 96299?

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 96299 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 96299, than apply into the LCM equation.

GCF(96288,96299) = 1
LCM(96288,96299) = ( 96288 × 96299) / 1
LCM(96288,96299) = 9272438112 / 1
LCM(96288,96299) = 9272438112

Least Common Multiple (LCM) of 96288 and 96299 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96288 and 96299. First we will calculate the prime factors of 96288 and 96299.

Prime Factorization of 96288

Prime Factorization of 96299

Now multiplying the highest exponent prime factors to calculate the LCM of 96288 and 96299.

LCM(96288,96299) = 2⁵ × 3¹ × 17¹ × 59¹ × 7¹ × 13757¹
LCM(96288,96299) = 9272438112