What is the Least Common Multiple of 18399 and 18405?

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 18399 and 18405 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18399 and 18405, than apply into the LCM equation.

GCF(18399,18405) = 3
LCM(18399,18405) = ( 18399 × 18405) / 3
LCM(18399,18405) = 338633595 / 3
LCM(18399,18405) = 112877865

Least Common Multiple (LCM) of 18399 and 18405 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18399 and 18405. First we will calculate the prime factors of 18399 and 18405.

Prime Factorization of 18399

Prime Factorization of 18405

Now multiplying the highest exponent prime factors to calculate the LCM of 18399 and 18405.

LCM(18399,18405) = 3² × 6133¹ × 5¹ × 409¹
LCM(18399,18405) = 112877865