What is the Least Common Multiple of 12714 and 12723?

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 12723 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 12723, than apply into the LCM equation.

GCF(12714,12723) = 3
LCM(12714,12723) = ( 12714 × 12723) / 3
LCM(12714,12723) = 161760222 / 3
LCM(12714,12723) = 53920074

Least Common Multiple (LCM) of 12714 and 12723 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12714 and 12723. First we will calculate the prime factors of 12714 and 12723.

Prime Factorization of 12714

Prime Factorization of 12723

Now multiplying the highest exponent prime factors to calculate the LCM of 12714 and 12723.

LCM(12714,12723) = 2¹ × 3¹ × 13¹ × 163¹ × 4241¹
LCM(12714,12723) = 53920074