import sys
input = lambda :sys.stdin.readline()[:-1]
ni = lambda :int(input())
na = lambda :list(map(int,input().split()))
sys.setrecursionlimit(10**7)
yes = lambda :print("yes");Yes = lambda :print("Yes")
no = lambda :print("no");No = lambda :print("No")
#######################################################################



pl = [2,3,5,7,11,13,17,19,23,29,31,37,41,43]
dl = dict()
for i, x in enumerate(pl):
    dl[x] = i
    
z = len(pl)
T = ni()

def f(x,y):
    r = 0
    while x>0:
        if x%y:
            break
        x//=y
        r+=1
    return r

for i in range(T):
    x = ni()
    ans = 10**15
    for j in pl:
        ff = f(x,j)
        ans = min(ans,pow(j,ff+1))
    print(x*ans)