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.
n = int(input())
from math import gcd
def lcm(x, y):
   lcm = (x*y)//gcd(x,y)
   return lcm

prod1 = lcm(lcm(n, n - 1), n - 2)
prod2 = lcm(lcm(n - 1, n - 2), n - 3)
prod3 = lcm(lcm(n, n - 1), n - 3)
if (n == 1 or n == 2):
    print (n)
else:
    print (max([prod1, prod2, prod3]))