What is the Least Common Multiple of 12750 and 12759?

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 12759 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 12759, than apply into the LCM equation.

GCF(12750,12759) = 3
LCM(12750,12759) = ( 12750 × 12759) / 3
LCM(12750,12759) = 162677250 / 3
LCM(12750,12759) = 54225750

Least Common Multiple (LCM) of 12750 and 12759 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12750 and 12759. First we will calculate the prime factors of 12750 and 12759.

Prime Factorization of 12750

Prime Factorization of 12759

Now multiplying the highest exponent prime factors to calculate the LCM of 12750 and 12759.

LCM(12750,12759) = 2¹ × 3¹ × 5³ × 17¹ × 4253¹
LCM(12750,12759) = 54225750