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
def lcm(a,b):
    return ((a*b)//(math.gcd(a,b))) 
n = int(input()) 
if (n==1):
    print(1) 
elif (n==2):
    print(2) 
else:
    ans = n*(n-1) 
    for i in range(n-2,0,-1):
        x = math.gcd(ans,i) 
        if (x==1):
            print(max(lcm(ans,(n-2)),(ans*i))) 
            break

