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

def lcm(a, b):
    return a * b // gcd(a, b)


n  =int(input())
if n == 1:
    print(1)
elif n == 2:
    print(2)
else:
    print(lcm(n, lcm(n -1, n -2)))