t = int(input())
divs = [2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59]

for i in range(t):
	n = int(input())
	ans = pow(10, 30)

	for d in divs:
		cnt = 0
		x = n
		while x % d == 0:
			x /= d
			cnt += 1
		ans = min(ans, n * pow(d, cnt + 1))
	
	print(ans)