What is the Least Common Multiple of 18891 and 18895?

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 18891 and 18895 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18891 and 18895, than apply into the LCM equation.

GCF(18891,18895) = 1
LCM(18891,18895) = ( 18891 × 18895) / 1
LCM(18891,18895) = 356945445 / 1
LCM(18891,18895) = 356945445

Least Common Multiple (LCM) of 18891 and 18895 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18891 and 18895. First we will calculate the prime factors of 18891 and 18895.

Prime Factorization of 18891

Prime Factorization of 18895

Now multiplying the highest exponent prime factors to calculate the LCM of 18891 and 18895.

LCM(18891,18895) = 3² × 2099¹ × 5¹ × 3779¹
LCM(18891,18895) = 356945445