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.
from math import gcd
x=int(input())
if x<=3:
        print(x)
elif x==6:
        print(60)
else:
        if x%2==0:
                print(min(x*(x-1)*(x-3),(x*(x-1)*(x-3)/gcd(x,x-3))))
        else:
                print(min(x*(x-1)*(x-2),(x*(x-1)*(x-2))/gcd(x,x-2)))