Write a program that displays the smallest positive number that is evenly divisible by all of the numbers from 1 to 20. For instance, 2520 is the smallest number that can be divided by each of the numbers from 1 to 10 without any remainder.

• Java Code

package sikademy;
/**
 *
 * @author Archangel Macsika
 */
import java.util.logging.Logger;

// This class finds the smallest number that is divisible by all numbers from 1-20.

public class EvenlyDivisible {
	private static final Logger LOG=Logger.getLogger(EvenlyDivisible.class.getName());
	public static void main(String[] args) {
		LOG.info("Into main class");
		int startingNumber=2520;
		int flag=0;
		while(flag!=20){
			LOG.info(""+startingNumber);
			for(int i=1;i<20;i++){
				if(startingNumber%i==0){
					flag++;
				}
			}
			if(flag!=20){
				flag=0;
				startingNumber+=1;
			}
		}
		LOG.info("The smallest number is : " + startingNumber);
	}
}