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.
def lcm(a,b,c):
    for i in range(a,(a*b*c)+1,a):
        if i%b==0 and i%c==0:
            print(i)
            break
def lcm_challenge(n):
    if n<=2:
        print(n)
    else:
        print(lcm(n,n-1,n-2))
n=int(input())
lcm_challenge(n)
