{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We just need to find the [lcm](https://en.wikipedia.org/wiki/Least_common_multiple)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "232792560"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from math import gcd\n",
    "\n",
    "def lcm(a, b):\n",
    "    return a*b // gcd(a, b)\n",
    "\n",
    "l = 1\n",
    "for n in range(1,20+1):\n",
    "    l = lcm(l, n)\n",
    "l"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.4"
  },
  "title": "Smallest multiple"
 },
 "nbformat": 4,
 "nbformat_minor": 2
}