What is the Least Common Multiple of 18078 and 18093?

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 18078 and 18093 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18078 and 18093, than apply into the LCM equation.

GCF(18078,18093) = 3
LCM(18078,18093) = ( 18078 × 18093) / 3
LCM(18078,18093) = 327085254 / 3
LCM(18078,18093) = 109028418

Least Common Multiple (LCM) of 18078 and 18093 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18078 and 18093. First we will calculate the prime factors of 18078 and 18093.

Prime Factorization of 18078

Prime Factorization of 18093

Now multiplying the highest exponent prime factors to calculate the LCM of 18078 and 18093.

LCM(18078,18093) = 2¹ × 3¹ × 23¹ × 131¹ × 37¹ × 163¹
LCM(18078,18093) = 109028418