What is the Least Common Multiple of 18336 and 18352?

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 18352 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 18352, than apply into the LCM equation.

GCF(18336,18352) = 16
LCM(18336,18352) = ( 18336 × 18352) / 16
LCM(18336,18352) = 336502272 / 16
LCM(18336,18352) = 21031392

Least Common Multiple (LCM) of 18336 and 18352 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18336 and 18352. First we will calculate the prime factors of 18336 and 18352.

Prime Factorization of 18336

Prime Factorization of 18352

Now multiplying the highest exponent prime factors to calculate the LCM of 18336 and 18352.

LCM(18336,18352) = 2⁵ × 3¹ × 191¹ × 31¹ × 37¹
LCM(18336,18352) = 21031392