What is the Least Common Multiple of 12742 and 12762?

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 12742 and 12762 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12742 and 12762, than apply into the LCM equation.

GCF(12742,12762) = 2
LCM(12742,12762) = ( 12742 × 12762) / 2
LCM(12742,12762) = 162613404 / 2
LCM(12742,12762) = 81306702

Least Common Multiple (LCM) of 12742 and 12762 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12742 and 12762. First we will calculate the prime factors of 12742 and 12762.

Prime Factorization of 12742

Prime Factorization of 12762

Now multiplying the highest exponent prime factors to calculate the LCM of 12742 and 12762.

LCM(12742,12762) = 2¹ × 23¹ × 277¹ × 3² × 709¹
LCM(12742,12762) = 81306702