What is the Least Common Multiple of 18330 and 18345?

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 18330 and 18345 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18330 and 18345, than apply into the LCM equation.

GCF(18330,18345) = 15
LCM(18330,18345) = ( 18330 × 18345) / 15
LCM(18330,18345) = 336263850 / 15
LCM(18330,18345) = 22417590

Least Common Multiple (LCM) of 18330 and 18345 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18330 and 18345. First we will calculate the prime factors of 18330 and 18345.

Prime Factorization of 18330

Prime Factorization of 18345

Now multiplying the highest exponent prime factors to calculate the LCM of 18330 and 18345.

LCM(18330,18345) = 2¹ × 3¹ × 5¹ × 13¹ × 47¹ × 1223¹
LCM(18330,18345) = 22417590