What is the Least Common Multiple of 12714 and 12731?

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 12731 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 12731, than apply into the LCM equation.

GCF(12714,12731) = 1
LCM(12714,12731) = ( 12714 × 12731) / 1
LCM(12714,12731) = 161861934 / 1
LCM(12714,12731) = 161861934

Least Common Multiple (LCM) of 12714 and 12731 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12714 and 12731. First we will calculate the prime factors of 12714 and 12731.

Prime Factorization of 12714

Prime Factorization of 12731

Now multiplying the highest exponent prime factors to calculate the LCM of 12714 and 12731.

LCM(12714,12731) = 2¹ × 3¹ × 13¹ × 163¹ × 29¹ × 439¹
LCM(12714,12731) = 161861934