What is the Least Common Multiple of 15372 and 15387?

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 15372 and 15387 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15372 and 15387, than apply into the LCM equation.

GCF(15372,15387) = 3
LCM(15372,15387) = ( 15372 × 15387) / 3
LCM(15372,15387) = 236528964 / 3
LCM(15372,15387) = 78842988

Least Common Multiple (LCM) of 15372 and 15387 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15372 and 15387. First we will calculate the prime factors of 15372 and 15387.

Prime Factorization of 15372

Prime Factorization of 15387

Now multiplying the highest exponent prime factors to calculate the LCM of 15372 and 15387.

LCM(15372,15387) = 2² × 3² × 7¹ × 61¹ × 23¹ × 223¹
LCM(15372,15387) = 78842988