Enkille,
<!DOCTYPE HTML>
<html>
<head>
  <title>Untitled</title>
  <meta charset="utf-8">
</head>
<body>
  <select size="15">
      <option value="1">1</option>
      <option value="2">2</option>
      <option value="3">3</option>
      <option value="4">4</option>
      <option value="5">5</option>
      <option value="6">6</option>
      <option value="7">7</option>
      <option value="8">8</option>
      <option value="9">9</option>
      <option value="10">10</option>
      <option value="11">11</option>
      <option value="12">12</option>
      <option value="13">13</option>
      <option value="14">14</option>
      <option value="15">15</option>
  </select>
  <select size="15">
      <option value="1">1</option>
      <option value="2">2</option>
      <option value="3">3</option>
      <option value="4">4</option>
      <option value="5">5</option>
      <option value="6">6</option>
      <option value="7">7</option>
      <option value="8">8</option>
      <option value="9">9</option>
      <option value="10">10</option>
      <option value="11">11</option>
      <option value="12">12</option>
      <option value="13">13</option>
      <option value="14">14</option>
      <option value="15">15</option>
  </select>
<script>
window.addEventListener("DOMContentLoaded", function() {
    var a = document.querySelectorAll("select");
    [].forEach.call(a, function(c, b) {
        b = a[+!b];
        var d = b.querySelectorAll("option");
        c.addEventListener("change", function() {
            b.options.length = 0;
            [].forEach.call(d, function(a) {
                a.value !== c.value && b.appendChild(a)
            })
        })
    })
});
</script>
</body>
</html>