What is the Least Common Multiple of 13864 and 13871?

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 13864 and 13871 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13864 and 13871, than apply into the LCM equation.

GCF(13864,13871) = 1
LCM(13864,13871) = ( 13864 × 13871) / 1
LCM(13864,13871) = 192307544 / 1
LCM(13864,13871) = 192307544

Least Common Multiple (LCM) of 13864 and 13871 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13864 and 13871. First we will calculate the prime factors of 13864 and 13871.

Prime Factorization of 13864

Prime Factorization of 13871

Now multiplying the highest exponent prime factors to calculate the LCM of 13864 and 13871.

LCM(13864,13871) = 2³ × 1733¹ × 11¹ × 13¹ × 97¹
LCM(13864,13871) = 192307544