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 {
	Scanner sc = new Scanner(System.in);
	final int MOD = 1000000007;
	final int MAX = Integer.MAX_VALUE;
	final long LMAX = Long.MAX_VALUE;
	int LEN = 0;

	void doIt() {
		long a = sc.nextLong();
		long b = sc.nextLong();
		System.out.println(a * b / gcd(a , b));
	}

	long gcd(long a, long b) {
		return (b != 0) ? gcd(b, a % b) : a;
	}
	
	public static void main(String[] args) {
		new Main().doIt();
	}
	
}
