What is the Least Common Multiple of 18336 and 18346?

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 18346 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 18346, than apply into the LCM equation.

GCF(18336,18346) = 2
LCM(18336,18346) = ( 18336 × 18346) / 2
LCM(18336,18346) = 336392256 / 2
LCM(18336,18346) = 168196128

Least Common Multiple (LCM) of 18336 and 18346 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18336 and 18346. First we will calculate the prime factors of 18336 and 18346.

Prime Factorization of 18336

Prime Factorization of 18346

Now multiplying the highest exponent prime factors to calculate the LCM of 18336 and 18346.

LCM(18336,18346) = 2⁵ × 3¹ × 191¹ × 9173¹
LCM(18336,18346) = 168196128