What is the Least Common Multiple of 18288 and 18303?

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 18288 and 18303 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18288 and 18303, than apply into the LCM equation.

GCF(18288,18303) = 3
LCM(18288,18303) = ( 18288 × 18303) / 3
LCM(18288,18303) = 334725264 / 3
LCM(18288,18303) = 111575088

Least Common Multiple (LCM) of 18288 and 18303 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18288 and 18303. First we will calculate the prime factors of 18288 and 18303.

Prime Factorization of 18288

Prime Factorization of 18303

Now multiplying the highest exponent prime factors to calculate the LCM of 18288 and 18303.

LCM(18288,18303) = 2⁴ × 3² × 127¹ × 6101¹
LCM(18288,18303) = 111575088