What is the Least Common Multiple of 12768 and 12784?

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 12768 and 12784 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12768 and 12784, than apply into the LCM equation.

GCF(12768,12784) = 16
LCM(12768,12784) = ( 12768 × 12784) / 16
LCM(12768,12784) = 163226112 / 16
LCM(12768,12784) = 10201632

Least Common Multiple (LCM) of 12768 and 12784 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12768 and 12784. First we will calculate the prime factors of 12768 and 12784.

Prime Factorization of 12768

Prime Factorization of 12784

Now multiplying the highest exponent prime factors to calculate the LCM of 12768 and 12784.

LCM(12768,12784) = 2⁵ × 3¹ × 7¹ × 19¹ × 17¹ × 47¹
LCM(12768,12784) = 10201632