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.
import math
n = int(input())
if n == 1 or n == 2:
    print(n)
elif n % 2 == 0 and n < 7:
    z = str(n*(n-1)*(n-2)/2)
    z = z.replace('.0', '', 1)
    print(z)
elif n % 2 == 0:
    n1 = n
    n1 -= 1
    if  math.lcm(n1, n1-1, n1-2) > math.lcm(n,n-1,n-3):
        print(math.lcm(n1, n1-1, n1-2))
    else:
        print(math.lcm(n,n-1,n-3))
else:
    print(n*(n-1)*(n-2))