What is the Least Common Multiple of 18304 and 18315?

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 18304 and 18315 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18304 and 18315, than apply into the LCM equation.

GCF(18304,18315) = 11
LCM(18304,18315) = ( 18304 × 18315) / 11
LCM(18304,18315) = 335237760 / 11
LCM(18304,18315) = 30476160

Least Common Multiple (LCM) of 18304 and 18315 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18304 and 18315. First we will calculate the prime factors of 18304 and 18315.

Prime Factorization of 18304

Prime Factorization of 18315

Now multiplying the highest exponent prime factors to calculate the LCM of 18304 and 18315.

LCM(18304,18315) = 2⁷ × 11¹ × 13¹ × 3² × 5¹ × 37¹
LCM(18304,18315) = 30476160