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())

nums =[n]
current = n
found = False
while found != True:
    current -= 1
    if math.gcd(current, n) == 1:
        nums.append(current)
        found = True

found = False
while found != True:
    current -= 1
    if math.gcd(current, n, nums[1]) == 1:
        nums.append(current)
        found = True

print (math.lcm(nums[0], nums[1], nums[2]))
