What is the Least Common Multiple of 12714 and 12728?

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 12714 and 12728 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12714 and 12728, than apply into the LCM equation.

GCF(12714,12728) = 2
LCM(12714,12728) = ( 12714 × 12728) / 2
LCM(12714,12728) = 161823792 / 2
LCM(12714,12728) = 80911896

Least Common Multiple (LCM) of 12714 and 12728 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12714 and 12728. First we will calculate the prime factors of 12714 and 12728.

Prime Factorization of 12714

Prime Factorization of 12728

Now multiplying the highest exponent prime factors to calculate the LCM of 12714 and 12728.

LCM(12714,12728) = 2³ × 3¹ × 13¹ × 163¹ × 37¹ × 43¹
LCM(12714,12728) = 80911896