What is the Least Common Multiple of 18333 and 18348?

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 18333 and 18348 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18333 and 18348, than apply into the LCM equation.

GCF(18333,18348) = 3
LCM(18333,18348) = ( 18333 × 18348) / 3
LCM(18333,18348) = 336373884 / 3
LCM(18333,18348) = 112124628

Least Common Multiple (LCM) of 18333 and 18348 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18333 and 18348. First we will calculate the prime factors of 18333 and 18348.

Prime Factorization of 18333

Prime Factorization of 18348

Now multiplying the highest exponent prime factors to calculate the LCM of 18333 and 18348.

LCM(18333,18348) = 3³ × 7¹ × 97¹ × 2² × 11¹ × 139¹
LCM(18333,18348) = 112124628