# Lowest Common Multiplierby Isai Damier, Android Engineer @ Google

```/**************************************************************************
* Author: Isai Damier
* Title: Lowest Common Multiplier
* Project: geekviewpoint
* Package: algorithms
*
* Statement:
*  Find the lowest common multiplier of the given numbers
*
* Sample Input: 24, 16
* Sample Output: 48
*
* Description: This function computes the lowest common multiplier of two
*   given numbers. The lcm of two numbers a and b is the smallest number
*   that can be divided by both a and b. For example, 15 is the lcm of 3
*   and 5 because 15 is the lowest number that can be evenly devided by
*   both 3 and 5; 18 is the lcm of 6 and 9 because 18 is the lowest number
*   that can be divided by both 6 and 9.
*
* Technical Details: Mumerous techniques have been developed to
*   compute the lcm of two numbers. The present algorithm uses
*   (a*b)/gcd(a,b) = lcm (a,b).
*
**************************************************************************/
public int LCM(int a, int b) {
if (a > b) {
return (a / GCD(a, b) * b);
} else {
return (b / GCD(a, b) * a);
}
}```
```import org.junit.Test;
import static org.junit.Assert.*;

public class NumbersTest {

/**
* Test of LCM method, of class Numbers.
*/
@Test
public void testLCM() {
System.out.println("LCM");
Numbers lowestCommonMultiplier = new Numbers();
assertEquals(48, lowestCommonMultiplier.LCM(24, 16));
assertEquals(48, lowestCommonMultiplier.LCM(16, 24));
assertEquals(16, lowestCommonMultiplier.LCM(16, 16));
assertEquals(13*29, lowestCommonMultiplier.LCM(13, 29));
assertEquals(100, lowestCommonMultiplier.LCM(100, 10));
}
}```