What is the Least Common Multiple of 23805 and 23823?

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 23805 and 23823 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23805 and 23823, than apply into the LCM equation.

GCF(23805,23823) = 9
LCM(23805,23823) = ( 23805 × 23823) / 9
LCM(23805,23823) = 567106515 / 9
LCM(23805,23823) = 63011835

Least Common Multiple (LCM) of 23805 and 23823 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23805 and 23823. First we will calculate the prime factors of 23805 and 23823.

Prime Factorization of 23805

Prime Factorization of 23823

Now multiplying the highest exponent prime factors to calculate the LCM of 23805 and 23823.

LCM(23805,23823) = 3² × 5¹ × 23² × 2647¹
LCM(23805,23823) = 63011835