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):
    print(1)
elif(n==2):
    print(2)
else:
    a=n
    b=n-1
    c=n-2
    lcm1=0
    lcm2=0
    lcm1=a*b//math.gcd(a,b)
    lcm2=lcm1*c//math.gcd(lcm1,c)
    print(lcm2)    
