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) 
elif (n==3):
    print(6)
else:
    ans=0 
    if (n%2==1):
        print(n*(n-1)*(n-2))
    else:
        ans= 0
        for i in range(n,max(0,n-50),-1):
            for j in range(n,max(0,n-50),-1):
                for k in range(n,max(0,n-50),-1):
                    ans = max(ans,lcm(lcm(i,j),k))
        print(ans)
