What is the Least Common Multiple of 59385 and 59400?

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 59385 and 59400 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59385 and 59400, than apply into the LCM equation.

GCF(59385,59400) = 15
LCM(59385,59400) = ( 59385 × 59400) / 15
LCM(59385,59400) = 3527469000 / 15
LCM(59385,59400) = 235164600

Least Common Multiple (LCM) of 59385 and 59400 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59385 and 59400. First we will calculate the prime factors of 59385 and 59400.

Prime Factorization of 59385

Prime Factorization of 59400

Now multiplying the highest exponent prime factors to calculate the LCM of 59385 and 59400.

LCM(59385,59400) = 3³ × 5² × 37¹ × 107¹ × 2³ × 11¹
LCM(59385,59400) = 235164600