var a = [
  {id: 1, name: 'A'},
  {id: 2, name: 'B'},
  {id: 3,  name: 'C'},
  {id: 4, name: 'D'}
];
var removeItem = [1,2];
removeItem.forEach(function(id){
   var itemIndex = a.findIndex(i => i.id == id);
   a.splice(itemIndex,1);
});
console.log(a);