What is the Least Common Multiple of 18384 and 18396?

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 18384 and 18396 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18384 and 18396, than apply into the LCM equation.

GCF(18384,18396) = 12
LCM(18384,18396) = ( 18384 × 18396) / 12
LCM(18384,18396) = 338192064 / 12
LCM(18384,18396) = 28182672

Least Common Multiple (LCM) of 18384 and 18396 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18384 and 18396. First we will calculate the prime factors of 18384 and 18396.

Prime Factorization of 18384

Prime Factorization of 18396

Now multiplying the highest exponent prime factors to calculate the LCM of 18384 and 18396.

LCM(18384,18396) = 2⁴ × 3² × 383¹ × 7¹ × 73¹
LCM(18384,18396) = 28182672