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.io.*;
import java.util.*;
public class Main {
	public static void main (String[] args) {
	    Scanner s=new Scanner(System.in);
	long a=s.nextLong();
	long b=s.nextLong();
	
	long p=a*b;
	long h=gcd(a,b);
	
	System.out.println(p/h);
	
	}
	static long gcd(long a, long b) 
    { 
      if (b == 0) 
        return a; 
      return gcd(b, a % b);  
    } 
}