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 int((a*b)/gcd(a,b))
n = int(input())
if(n<4):
    if(n == 1):
        print(1)
    elif(n==2):
        print(2)
    elif(n ==3):
        print(6)
if(n&1):
    print(lcm(n-2,lcm(n,n-1)))
else:
    x = lcm(n-2,lcm(n,n-1))
    y = lcm(n-3, lcm(n,n-1))
    print(max(x,y))