Some days ago, I learned the concept of LCM (least common multiple). I've played with it for several times and I want to make a big number with it.

But I also don't want to use many numbers, so I'll choose three positive integers (they don't have to be distinct) which are not greater than *n*. Can you help me to find the maximum possible least common multiple of these three integers?
The first line contains an integer *n* (1 ≤ *n* ≤ 10<sup class="upper-index">6</sup>) — the *n* mentioned in the statement.
import math

def lcm(x, y, z):
    b = math.gcd(x, y)
    a = math.gcd(b,z)
    num = x
    num2 = y * z // a
    LCM = num * num2 // a
    return LCM
n = int(input())
x = n
y = n-1
z = n-2
print(lcm(x,y,z))