What is the Least Common Multiple of 18264 and 18284?

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 18264 and 18284 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18264 and 18284, than apply into the LCM equation.

GCF(18264,18284) = 4
LCM(18264,18284) = ( 18264 × 18284) / 4
LCM(18264,18284) = 333938976 / 4
LCM(18264,18284) = 83484744

Least Common Multiple (LCM) of 18264 and 18284 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18264 and 18284. First we will calculate the prime factors of 18264 and 18284.

Prime Factorization of 18264

Prime Factorization of 18284

Now multiplying the highest exponent prime factors to calculate the LCM of 18264 and 18284.

LCM(18264,18284) = 2³ × 3¹ × 761¹ × 7¹ × 653¹
LCM(18264,18284) = 83484744