What is the Least Common Multiple of 13889 and 13908?

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 13889 and 13908 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13889 and 13908, than apply into the LCM equation.

GCF(13889,13908) = 19
LCM(13889,13908) = ( 13889 × 13908) / 19
LCM(13889,13908) = 193168212 / 19
LCM(13889,13908) = 10166748

Least Common Multiple (LCM) of 13889 and 13908 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13889 and 13908. First we will calculate the prime factors of 13889 and 13908.

Prime Factorization of 13889

Prime Factorization of 13908

Now multiplying the highest exponent prime factors to calculate the LCM of 13889 and 13908.

LCM(13889,13908) = 17¹ × 19¹ × 43¹ × 2² × 3¹ × 61¹
LCM(13889,13908) = 10166748