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 or n==2:
    print(n)
else:
    a=n;b=n-1

    for i in range(n-2,-1,-1):
        if gcd(i,n)==1 and gcd(i,n-1)==1:
            c=i
            break
    print(a*b*c)
