What is the Least Common Multiple of 12714 and 12734?

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 12734 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 12734, than apply into the LCM equation.

GCF(12714,12734) = 2
LCM(12714,12734) = ( 12714 × 12734) / 2
LCM(12714,12734) = 161900076 / 2
LCM(12714,12734) = 80950038

Least Common Multiple (LCM) of 12714 and 12734 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12714 and 12734. First we will calculate the prime factors of 12714 and 12734.

Prime Factorization of 12714

Prime Factorization of 12734

Now multiplying the highest exponent prime factors to calculate the LCM of 12714 and 12734.

LCM(12714,12734) = 2¹ × 3¹ × 13¹ × 163¹ × 6367¹
LCM(12714,12734) = 80950038