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.
# -*- coding: utf-8 -*-
"""
Created on Mon Mar 30 11:12:22 2020

@author: andre
"""

def gcd(a,b):
    if(b == 0):
        return a
    else:
        return gcd(b,a%b)

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

a = int(input())
if(a == 1):
    print(1)
elif(a == 2):
    print(2)
else:
    ma = a*(a-1)
    for i in range(1,a-1):
        ma = max(lcm((i+1)*(i+2),i),ma)
    print(int(ma))
    