What is the Least Common Multiple of 18906 and 18916?

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 18906 and 18916 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18906 and 18916, than apply into the LCM equation.

GCF(18906,18916) = 2
LCM(18906,18916) = ( 18906 × 18916) / 2
LCM(18906,18916) = 357625896 / 2
LCM(18906,18916) = 178812948

Least Common Multiple (LCM) of 18906 and 18916 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18906 and 18916. First we will calculate the prime factors of 18906 and 18916.

Prime Factorization of 18906

Prime Factorization of 18916

Now multiplying the highest exponent prime factors to calculate the LCM of 18906 and 18916.

LCM(18906,18916) = 2² × 3¹ × 23¹ × 137¹ × 4729¹
LCM(18906,18916) = 178812948