What is the Least Common Multiple of 23589 and 23600?

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 23600 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 23600, than apply into the LCM equation.

GCF(23589,23600) = 1
LCM(23589,23600) = ( 23589 × 23600) / 1
LCM(23589,23600) = 556700400 / 1
LCM(23589,23600) = 556700400

Least Common Multiple (LCM) of 23589 and 23600 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23589 and 23600. First we will calculate the prime factors of 23589 and 23600.

Prime Factorization of 23589

Prime Factorization of 23600

Now multiplying the highest exponent prime factors to calculate the LCM of 23589 and 23600.

LCM(23589,23600) = 3² × 2621¹ × 2⁴ × 5² × 59¹
LCM(23589,23600) = 556700400