What is the Least Common Multiple of 15372 and 15386?

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 15386 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 15386, than apply into the LCM equation.

GCF(15372,15386) = 14
LCM(15372,15386) = ( 15372 × 15386) / 14
LCM(15372,15386) = 236513592 / 14
LCM(15372,15386) = 16893828

Least Common Multiple (LCM) of 15372 and 15386 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15372 and 15386. First we will calculate the prime factors of 15372 and 15386.

Prime Factorization of 15372

Prime Factorization of 15386

Now multiplying the highest exponent prime factors to calculate the LCM of 15372 and 15386.

LCM(15372,15386) = 2² × 3² × 7² × 61¹ × 157¹
LCM(15372,15386) = 16893828