What is the Least Common Multiple of 32764 and 32784?

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 32764 and 32784 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32764 and 32784, than apply into the LCM equation.

GCF(32764,32784) = 4
LCM(32764,32784) = ( 32764 × 32784) / 4
LCM(32764,32784) = 1074134976 / 4
LCM(32764,32784) = 268533744

Least Common Multiple (LCM) of 32764 and 32784 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32764 and 32784. First we will calculate the prime factors of 32764 and 32784.

Prime Factorization of 32764

Prime Factorization of 32784

Now multiplying the highest exponent prime factors to calculate the LCM of 32764 and 32784.

LCM(32764,32784) = 2⁴ × 8191¹ × 3¹ × 683¹
LCM(32764,32784) = 268533744