What is the Least Common Multiple of 12735 and 12744?

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 12735 and 12744 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12735 and 12744, than apply into the LCM equation.

GCF(12735,12744) = 9
LCM(12735,12744) = ( 12735 × 12744) / 9
LCM(12735,12744) = 162294840 / 9
LCM(12735,12744) = 18032760

Least Common Multiple (LCM) of 12735 and 12744 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12735 and 12744. First we will calculate the prime factors of 12735 and 12744.

Prime Factorization of 12735

Prime Factorization of 12744

Now multiplying the highest exponent prime factors to calculate the LCM of 12735 and 12744.

LCM(12735,12744) = 3³ × 5¹ × 283¹ × 2³ × 59¹
LCM(12735,12744) = 18032760