What is the Least Common Multiple of 18336 and 18351?

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 18351 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 18351, than apply into the LCM equation.

GCF(18336,18351) = 3
LCM(18336,18351) = ( 18336 × 18351) / 3
LCM(18336,18351) = 336483936 / 3
LCM(18336,18351) = 112161312

Least Common Multiple (LCM) of 18336 and 18351 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18336 and 18351. First we will calculate the prime factors of 18336 and 18351.

Prime Factorization of 18336

Prime Factorization of 18351

Now multiplying the highest exponent prime factors to calculate the LCM of 18336 and 18351.

LCM(18336,18351) = 2⁵ × 3² × 191¹ × 2039¹
LCM(18336,18351) = 112161312