What is the Least Common Multiple of 93585 and 93600?

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 93585 and 93600 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93585 and 93600, than apply into the LCM equation.

GCF(93585,93600) = 15
LCM(93585,93600) = ( 93585 × 93600) / 15
LCM(93585,93600) = 8759556000 / 15
LCM(93585,93600) = 583970400

Least Common Multiple (LCM) of 93585 and 93600 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93585 and 93600. First we will calculate the prime factors of 93585 and 93600.

Prime Factorization of 93585

Prime Factorization of 93600

Now multiplying the highest exponent prime factors to calculate the LCM of 93585 and 93600.

LCM(93585,93600) = 3² × 5² × 17¹ × 367¹ × 2⁵ × 13¹
LCM(93585,93600) = 583970400