What is the Least Common Multiple of 18330 and 18350?

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 18350 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 18350, than apply into the LCM equation.

GCF(18330,18350) = 10
LCM(18330,18350) = ( 18330 × 18350) / 10
LCM(18330,18350) = 336355500 / 10
LCM(18330,18350) = 33635550

Least Common Multiple (LCM) of 18330 and 18350 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18330 and 18350. First we will calculate the prime factors of 18330 and 18350.

Prime Factorization of 18330

Prime Factorization of 18350

Now multiplying the highest exponent prime factors to calculate the LCM of 18330 and 18350.

LCM(18330,18350) = 2¹ × 3¹ × 5² × 13¹ × 47¹ × 367¹
LCM(18330,18350) = 33635550