What is the Least Common Multiple of 12726 and 12737?

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 12726 and 12737 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12726 and 12737, than apply into the LCM equation.

GCF(12726,12737) = 1
LCM(12726,12737) = ( 12726 × 12737) / 1
LCM(12726,12737) = 162091062 / 1
LCM(12726,12737) = 162091062

Least Common Multiple (LCM) of 12726 and 12737 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12726 and 12737. First we will calculate the prime factors of 12726 and 12737.

Prime Factorization of 12726

Prime Factorization of 12737

Now multiplying the highest exponent prime factors to calculate the LCM of 12726 and 12737.

LCM(12726,12737) = 2¹ × 3² × 7¹ × 101¹ × 47¹ × 271¹
LCM(12726,12737) = 162091062