What is the Least Common Multiple of 18078 and 18087?

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 18087 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 18087, than apply into the LCM equation.

GCF(18078,18087) = 3
LCM(18078,18087) = ( 18078 × 18087) / 3
LCM(18078,18087) = 326976786 / 3
LCM(18078,18087) = 108992262

Least Common Multiple (LCM) of 18078 and 18087 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18078 and 18087. First we will calculate the prime factors of 18078 and 18087.

Prime Factorization of 18078

Prime Factorization of 18087

Now multiplying the highest exponent prime factors to calculate the LCM of 18078 and 18087.

LCM(18078,18087) = 2¹ × 3¹ × 23¹ × 131¹ × 6029¹
LCM(18078,18087) = 108992262