What is the Least Common Multiple of 23838 and 23845?

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 23838 and 23845 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23838 and 23845, than apply into the LCM equation.

GCF(23838,23845) = 1
LCM(23838,23845) = ( 23838 × 23845) / 1
LCM(23838,23845) = 568417110 / 1
LCM(23838,23845) = 568417110

Least Common Multiple (LCM) of 23838 and 23845 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23838 and 23845. First we will calculate the prime factors of 23838 and 23845.

Prime Factorization of 23838

Prime Factorization of 23845

Now multiplying the highest exponent prime factors to calculate the LCM of 23838 and 23845.

LCM(23838,23845) = 2¹ × 3¹ × 29¹ × 137¹ × 5¹ × 19¹ × 251¹
LCM(23838,23845) = 568417110