Takahashi is organizing a party.

At the party, each guest will receive one or more snack pieces.

Takahashi predicts that the number of guests at this party will be A or B.

Find the minimum number of pieces that can be evenly distributed to the guests in both of the cases predicted.

We assume that a piece cannot be divided and distributed to multiple guests.

Constraints

* 1 \leq A, B \leq 10^5
* A \neq B
* All values in input are integers.

Input

Input is given from Standard Input in the following format:


A B


Output

Print the minimum number of pieces that can be evenly distributed to the guests in both of the cases with A guests and B guests.

Examples

Input

2 3


Output

6


Input

123 456


Output

18696


Input

100000 99999


Output

9999900000
import java.util.*;
public class Main{
  public static void main(String[] args){
    Scanner sc = new Scanner(System.in);
    long a = sc.nextLong();
    long b = sc.nextLong();
    System.out.println(lcm(a,b)); 
  }
    //最大公約数・最小公倍数（セットで使う）
static long gcd (long a, long b) {return b>0?gcd(b,a%b):a;}
static long lcm (long a, long b) {return a*b/gcd(a,b);}
  

  
}