What is the Least Common Multiple of 15381 and 15393?

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 15381 and 15393 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15381 and 15393, than apply into the LCM equation.

GCF(15381,15393) = 3
LCM(15381,15393) = ( 15381 × 15393) / 3
LCM(15381,15393) = 236759733 / 3
LCM(15381,15393) = 78919911

Least Common Multiple (LCM) of 15381 and 15393 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15381 and 15393. First we will calculate the prime factors of 15381 and 15393.

Prime Factorization of 15381

Prime Factorization of 15393

Now multiplying the highest exponent prime factors to calculate the LCM of 15381 and 15393.

LCM(15381,15393) = 3² × 1709¹ × 7¹ × 733¹
LCM(15381,15393) = 78919911