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.

def lcm_challenge(n):
    if n<=2:
        print(n)
    elif a%6==0:
        print((a-1)*(a-2)*(a-3))
    elif a%2==0:
       print((a)*(a-1)*(a-3))
    else:
       print((a)*(a-1)*(a-2))
n=int(input())
lcm_challenge(n
