What is the Least Common Multiple of 18336 and 18353?

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 18336 and 18353 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18336 and 18353, than apply into the LCM equation.

GCF(18336,18353) = 1
LCM(18336,18353) = ( 18336 × 18353) / 1
LCM(18336,18353) = 336520608 / 1
LCM(18336,18353) = 336520608

Least Common Multiple (LCM) of 18336 and 18353 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18336 and 18353. First we will calculate the prime factors of 18336 and 18353.

Prime Factorization of 18336

Prime Factorization of 18353

Now multiplying the highest exponent prime factors to calculate the LCM of 18336 and 18353.

LCM(18336,18353) = 2⁵ × 3¹ × 191¹ × 18353¹
LCM(18336,18353) = 336520608