What is the Least Common Multiple of 13838 and 13856?

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 13838 and 13856 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13838 and 13856, than apply into the LCM equation.

GCF(13838,13856) = 2
LCM(13838,13856) = ( 13838 × 13856) / 2
LCM(13838,13856) = 191739328 / 2
LCM(13838,13856) = 95869664

Least Common Multiple (LCM) of 13838 and 13856 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13838 and 13856. First we will calculate the prime factors of 13838 and 13856.

Prime Factorization of 13838

Prime Factorization of 13856

Now multiplying the highest exponent prime factors to calculate the LCM of 13838 and 13856.

LCM(13838,13856) = 2⁵ × 11¹ × 17¹ × 37¹ × 433¹
LCM(13838,13856) = 95869664