What is the Least Common Multiple of 12744 and 12750?

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 12744 and 12750 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12744 and 12750, than apply into the LCM equation.

GCF(12744,12750) = 6
LCM(12744,12750) = ( 12744 × 12750) / 6
LCM(12744,12750) = 162486000 / 6
LCM(12744,12750) = 27081000

Least Common Multiple (LCM) of 12744 and 12750 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12744 and 12750. First we will calculate the prime factors of 12744 and 12750.

Prime Factorization of 12744

Prime Factorization of 12750

Now multiplying the highest exponent prime factors to calculate the LCM of 12744 and 12750.

LCM(12744,12750) = 2³ × 3³ × 59¹ × 5³ × 17¹
LCM(12744,12750) = 27081000