What is the Least Common Multiple of 20768 and 20784?

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 20768 and 20784 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20768 and 20784, than apply into the LCM equation.

GCF(20768,20784) = 16
LCM(20768,20784) = ( 20768 × 20784) / 16
LCM(20768,20784) = 431642112 / 16
LCM(20768,20784) = 26977632

Least Common Multiple (LCM) of 20768 and 20784 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20768 and 20784. First we will calculate the prime factors of 20768 and 20784.

Prime Factorization of 20768

Prime Factorization of 20784

Now multiplying the highest exponent prime factors to calculate the LCM of 20768 and 20784.

LCM(20768,20784) = 2⁵ × 11¹ × 59¹ × 3¹ × 433¹
LCM(20768,20784) = 26977632