What is the Least Common Multiple of 13856 and 13870?

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 13856 and 13870 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13856 and 13870, than apply into the LCM equation.

GCF(13856,13870) = 2
LCM(13856,13870) = ( 13856 × 13870) / 2
LCM(13856,13870) = 192182720 / 2
LCM(13856,13870) = 96091360

Least Common Multiple (LCM) of 13856 and 13870 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13856 and 13870. First we will calculate the prime factors of 13856 and 13870.

Prime Factorization of 13856

Prime Factorization of 13870

Now multiplying the highest exponent prime factors to calculate the LCM of 13856 and 13870.

LCM(13856,13870) = 2⁵ × 433¹ × 5¹ × 19¹ × 73¹
LCM(13856,13870) = 96091360