What is the Least Common Multiple of 18375 and 18384?

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 18375 and 18384 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18375 and 18384, than apply into the LCM equation.

GCF(18375,18384) = 3
LCM(18375,18384) = ( 18375 × 18384) / 3
LCM(18375,18384) = 337806000 / 3
LCM(18375,18384) = 112602000

Least Common Multiple (LCM) of 18375 and 18384 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18375 and 18384. First we will calculate the prime factors of 18375 and 18384.

Prime Factorization of 18375

Prime Factorization of 18384

Now multiplying the highest exponent prime factors to calculate the LCM of 18375 and 18384.

LCM(18375,18384) = 3¹ × 5³ × 7² × 2⁴ × 383¹
LCM(18375,18384) = 112602000