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
n = int(input())
if n==1:
    print(1)
    exit()
if n==2:
    print(2)
    exit()
gcd_1 = gcd(n,n-1)
lcm_1 = n*(n-1)//gcd_1
gcd_2 = gcd(lcm_1,n-2)
lcm_2 = lcm_1*(n-2)//gcd_2
print(lcm_2)