What is the Least Common Multiple of 12744 and 12751?

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 12744 and 12751 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12744 and 12751, than apply into the LCM equation.

GCF(12744,12751) = 1
LCM(12744,12751) = ( 12744 × 12751) / 1
LCM(12744,12751) = 162498744 / 1
LCM(12744,12751) = 162498744

Least Common Multiple (LCM) of 12744 and 12751 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12744 and 12751. First we will calculate the prime factors of 12744 and 12751.

Prime Factorization of 12744

Prime Factorization of 12751

Now multiplying the highest exponent prime factors to calculate the LCM of 12744 and 12751.

LCM(12744,12751) = 2³ × 3³ × 59¹ × 41¹ × 311¹
LCM(12744,12751) = 162498744