What is the Least Common Multiple of 96288 and 96306?

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 96306 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 96306, than apply into the LCM equation.

GCF(96288,96306) = 6
LCM(96288,96306) = ( 96288 × 96306) / 6
LCM(96288,96306) = 9273112128 / 6
LCM(96288,96306) = 1545518688

Least Common Multiple (LCM) of 96288 and 96306 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96288 and 96306. First we will calculate the prime factors of 96288 and 96306.

Prime Factorization of 96288

Prime Factorization of 96306

Now multiplying the highest exponent prime factors to calculate the LCM of 96288 and 96306.

LCM(96288,96306) = 2⁵ × 3¹ × 17¹ × 59¹ × 7¹ × 2293¹
LCM(96288,96306) = 1545518688