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 gcd
n=int(input())
if(n<=2): print(n)
else:
    x=n*(n-1)
    xd=(x*(n-2))//math.gcd(x,n-2)
    if(n==3): print(6)
    else:
        xd1=(x*(n-3))//math.gcd(x,(n-3))
        print(max(xd,xd1))