What is the Least Common Multiple of 12742 and 12757?

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 12757 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 12757, than apply into the LCM equation.

GCF(12742,12757) = 1
LCM(12742,12757) = ( 12742 × 12757) / 1
LCM(12742,12757) = 162549694 / 1
LCM(12742,12757) = 162549694

Least Common Multiple (LCM) of 12742 and 12757 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12742 and 12757. First we will calculate the prime factors of 12742 and 12757.

Prime Factorization of 12742

Prime Factorization of 12757

Now multiplying the highest exponent prime factors to calculate the LCM of 12742 and 12757.

LCM(12742,12757) = 2¹ × 23¹ × 277¹ × 12757¹
LCM(12742,12757) = 162549694