What is the Least Common Multiple of 15728 and 15735?

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 15728 and 15735 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15728 and 15735, than apply into the LCM equation.

GCF(15728,15735) = 1
LCM(15728,15735) = ( 15728 × 15735) / 1
LCM(15728,15735) = 247480080 / 1
LCM(15728,15735) = 247480080

Least Common Multiple (LCM) of 15728 and 15735 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15728 and 15735. First we will calculate the prime factors of 15728 and 15735.

Prime Factorization of 15728

Prime Factorization of 15735

Now multiplying the highest exponent prime factors to calculate the LCM of 15728 and 15735.

LCM(15728,15735) = 2⁴ × 983¹ × 3¹ × 5¹ × 1049¹
LCM(15728,15735) = 247480080