import java.util.ArrayList;

import java.util.HashMap;

import java.util.List;

import java.util.Map;


/*

 * 2520 is the smallest number that can be divided by 

 * each of the numbers from 1 to 10 without any remainder.

 * What is the smallest positive number that is 

 * evenly divisible by all of the numbers from 1 to 20?

 */


public class Problem5 {


Map<Integer, Integer> factorize(int x) {

Map<Integer, Integer> factorMap = new HashMap<>();


for (int i = 2; i <= x; i++) {

if (x % i == 0) {

if (factorMap.containsKey(i)) {

factorMap.put(i, factorMap.get(i) + 1);

} else {

factorMap.put(i, 1);

}

x /= i;

i = 1;

}

}

return factorMap;


}


int solve(int x) {


int result = 1;

Map<Integer, Integer> minDivisible = new HashMap<>();


for (int i = 2; i <= x; i++) {

Map<Integer, Integer> factor = new HashMap<>();

factor = factorize(i);


for (int j : factor.keySet()) {

if (minDivisible.containsKey(j) && factor.get(j) > minDivisible.get(j)) {

minDivisible.replace(j, factor.get(j));

} else if (!minDivisible.containsKey(j)) {

minDivisible.put(j, factor.get(j));

}

}

}


for (int k : minDivisible.keySet()) {

result *= Math.pow(k, minDivisible.get(k));

}


return result;

}


public static void main(String[] args) {


// 232792560

System.out.println(new Problem5().solve(20));

}

}