What is the Least Common Multiple of 12764 and 12782?

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 12764 and 12782 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12764 and 12782, than apply into the LCM equation.

GCF(12764,12782) = 2
LCM(12764,12782) = ( 12764 × 12782) / 2
LCM(12764,12782) = 163149448 / 2
LCM(12764,12782) = 81574724

Least Common Multiple (LCM) of 12764 and 12782 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12764 and 12782. First we will calculate the prime factors of 12764 and 12782.

Prime Factorization of 12764

Prime Factorization of 12782

Now multiplying the highest exponent prime factors to calculate the LCM of 12764 and 12782.

LCM(12764,12782) = 2² × 3191¹ × 7¹ × 11¹ × 83¹
LCM(12764,12782) = 81574724