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.Scanner;

public class Main {
	public static void main(String[] args) {
		try (Scanner sc = new Scanner(System.in)) {
			// 整数の入力
			long a = sc.nextLong();
			long b = sc.nextLong();

			long min = a < b ? a : b;
			long max = a > b ? a : b;

			for (long i = 1; i <= max; i++) {
				if (min * i % max == 0) {
					System.out.println(min * i);
					break;
				}
			}
		}
	}
}
