What is the Least Common Multiple of 15728 and 15733?

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 15733 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 15733, than apply into the LCM equation.

GCF(15728,15733) = 1
LCM(15728,15733) = ( 15728 × 15733) / 1
LCM(15728,15733) = 247448624 / 1
LCM(15728,15733) = 247448624

Least Common Multiple (LCM) of 15728 and 15733 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15728 and 15733. First we will calculate the prime factors of 15728 and 15733.

Prime Factorization of 15728

Prime Factorization of 15733

Now multiplying the highest exponent prime factors to calculate the LCM of 15728 and 15733.

LCM(15728,15733) = 2⁴ × 983¹ × 15733¹
LCM(15728,15733) = 247448624