What is the Least Common Multiple of 18285 and 18294?

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 18285 and 18294 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18285 and 18294, than apply into the LCM equation.

GCF(18285,18294) = 3
LCM(18285,18294) = ( 18285 × 18294) / 3
LCM(18285,18294) = 334505790 / 3
LCM(18285,18294) = 111501930

Least Common Multiple (LCM) of 18285 and 18294 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18285 and 18294. First we will calculate the prime factors of 18285 and 18294.

Prime Factorization of 18285

Prime Factorization of 18294

Now multiplying the highest exponent prime factors to calculate the LCM of 18285 and 18294.

LCM(18285,18294) = 3¹ × 5¹ × 23¹ × 53¹ × 2¹ × 3049¹
LCM(18285,18294) = 111501930