What is the Least Common Multiple of 15384 and 15396?

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 15384 and 15396 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15384 and 15396, than apply into the LCM equation.

GCF(15384,15396) = 12
LCM(15384,15396) = ( 15384 × 15396) / 12
LCM(15384,15396) = 236852064 / 12
LCM(15384,15396) = 19737672

Least Common Multiple (LCM) of 15384 and 15396 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15384 and 15396. First we will calculate the prime factors of 15384 and 15396.

Prime Factorization of 15384

Prime Factorization of 15396

Now multiplying the highest exponent prime factors to calculate the LCM of 15384 and 15396.

LCM(15384,15396) = 2³ × 3¹ × 641¹ × 1283¹
LCM(15384,15396) = 19737672