What is the Least Common Multiple of 78585 and 78600?

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 78585 and 78600 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78585 and 78600, than apply into the LCM equation.

GCF(78585,78600) = 15
LCM(78585,78600) = ( 78585 × 78600) / 15
LCM(78585,78600) = 6176781000 / 15
LCM(78585,78600) = 411785400

Least Common Multiple (LCM) of 78585 and 78600 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78585 and 78600. First we will calculate the prime factors of 78585 and 78600.

Prime Factorization of 78585

Prime Factorization of 78600

Now multiplying the highest exponent prime factors to calculate the LCM of 78585 and 78600.

LCM(78585,78600) = 3¹ × 5² × 13² × 31¹ × 2³ × 131¹
LCM(78585,78600) = 411785400