What is the Least Common Multiple of 13728 and 13739?

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 13728 and 13739 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13728 and 13739, than apply into the LCM equation.

GCF(13728,13739) = 11
LCM(13728,13739) = ( 13728 × 13739) / 11
LCM(13728,13739) = 188608992 / 11
LCM(13728,13739) = 17146272

Least Common Multiple (LCM) of 13728 and 13739 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13728 and 13739. First we will calculate the prime factors of 13728 and 13739.

Prime Factorization of 13728

Prime Factorization of 13739

Now multiplying the highest exponent prime factors to calculate the LCM of 13728 and 13739.

LCM(13728,13739) = 2⁵ × 3¹ × 11¹ × 13¹ × 1249¹
LCM(13728,13739) = 17146272