What is the Least Common Multiple of 12714 and 12726?

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 12726 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 12726, than apply into the LCM equation.

GCF(12714,12726) = 6
LCM(12714,12726) = ( 12714 × 12726) / 6
LCM(12714,12726) = 161798364 / 6
LCM(12714,12726) = 26966394

Least Common Multiple (LCM) of 12714 and 12726 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12714 and 12726. First we will calculate the prime factors of 12714 and 12726.

Prime Factorization of 12714

Prime Factorization of 12726

Now multiplying the highest exponent prime factors to calculate the LCM of 12714 and 12726.

LCM(12714,12726) = 2¹ × 3² × 13¹ × 163¹ × 7¹ × 101¹
LCM(12714,12726) = 26966394