What is the Least Common Multiple of 23891 and 23899?

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 23891 and 23899 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23891 and 23899, than apply into the LCM equation.

GCF(23891,23899) = 1
LCM(23891,23899) = ( 23891 × 23899) / 1
LCM(23891,23899) = 570971009 / 1
LCM(23891,23899) = 570971009

Least Common Multiple (LCM) of 23891 and 23899 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23891 and 23899. First we will calculate the prime factors of 23891 and 23899.

Prime Factorization of 23891

Prime Factorization of 23899

Now multiplying the highest exponent prime factors to calculate the LCM of 23891 and 23899.

LCM(23891,23899) = 7¹ × 3413¹ × 23899¹
LCM(23891,23899) = 570971009