What is the Least Common Multiple of 23589 and 23605?

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 23589 and 23605 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23589 and 23605, than apply into the LCM equation.

GCF(23589,23605) = 1
LCM(23589,23605) = ( 23589 × 23605) / 1
LCM(23589,23605) = 556818345 / 1
LCM(23589,23605) = 556818345

Least Common Multiple (LCM) of 23589 and 23605 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23589 and 23605. First we will calculate the prime factors of 23589 and 23605.

Prime Factorization of 23589

Prime Factorization of 23605

Now multiplying the highest exponent prime factors to calculate the LCM of 23589 and 23605.

LCM(23589,23605) = 3² × 2621¹ × 5¹ × 4721¹
LCM(23589,23605) = 556818345