What is the Least Common Multiple of 12729 and 12735?

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 12729 and 12735 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12729 and 12735, than apply into the LCM equation.

GCF(12729,12735) = 3
LCM(12729,12735) = ( 12729 × 12735) / 3
LCM(12729,12735) = 162103815 / 3
LCM(12729,12735) = 54034605

Least Common Multiple (LCM) of 12729 and 12735 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12729 and 12735. First we will calculate the prime factors of 12729 and 12735.

Prime Factorization of 12729

Prime Factorization of 12735

Now multiplying the highest exponent prime factors to calculate the LCM of 12729 and 12735.

LCM(12729,12735) = 3² × 4243¹ × 5¹ × 283¹
LCM(12729,12735) = 54034605