What is the Least Common Multiple of 12750 and 12756?

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 12750 and 12756 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12750 and 12756, than apply into the LCM equation.

GCF(12750,12756) = 6
LCM(12750,12756) = ( 12750 × 12756) / 6
LCM(12750,12756) = 162639000 / 6
LCM(12750,12756) = 27106500

Least Common Multiple (LCM) of 12750 and 12756 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12750 and 12756. First we will calculate the prime factors of 12750 and 12756.

Prime Factorization of 12750

Prime Factorization of 12756

Now multiplying the highest exponent prime factors to calculate the LCM of 12750 and 12756.

LCM(12750,12756) = 2² × 3¹ × 5³ × 17¹ × 1063¹
LCM(12750,12756) = 27106500