What is the Least Common Multiple of 18594 and 18600?

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 18594 and 18600 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18594 and 18600, than apply into the LCM equation.

GCF(18594,18600) = 6
LCM(18594,18600) = ( 18594 × 18600) / 6
LCM(18594,18600) = 345848400 / 6
LCM(18594,18600) = 57641400

Least Common Multiple (LCM) of 18594 and 18600 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18594 and 18600. First we will calculate the prime factors of 18594 and 18600.

Prime Factorization of 18594

Prime Factorization of 18600

Now multiplying the highest exponent prime factors to calculate the LCM of 18594 and 18600.

LCM(18594,18600) = 2³ × 3² × 1033¹ × 5² × 31¹
LCM(18594,18600) = 57641400