Write a program which computes the greatest common divisor (GCD) and the least common multiple (LCM) of given a and b.

Constraints

* 0 < a, b ≤ 2,000,000,000
* LCM(a, b) ≤ 2,000,000,000
* The number of data sets ≤ 50

Input

Input consists of several data sets. Each data set contains a and b separated by a single space in a line. The input terminates with EOF.

Output

For each data set, print GCD and LCM separated by a single space in a line.

Example

Input

8 6
50000000 30000000


Output

2 24
10000000 150000000
# -*- coding: utf-8 -*-

import sys

def isprime(n):
    for i in xrange(2, int(n ** 0.5)+1 ):
        if n % i == 0: return False
    return True


outList = []
for line in sys.stdin.readlines():
    List = map(int, line.strip().split())

    [a, b] = List

    # LCM
    LCM = 1
    i = 1
    while( i <= min(a, b) ):
        i += 1
        if not isprime(i): continue
        while(a % i == 0 and b % i == 0):
            LCM *= i
            a /= i
            b /= i

    # GCD
    GCD = List[0] * b

    print LCM, GCD