Use different format or pattern to get the information from the date

var myDate = new Date("2015-06-17 14:24:36");
console.log(moment(myDate).format("YYYY-MM-DD HH:mm:ss"));
console.log("Date: "+moment(myDate).format("YYYY-MM-DD"));
console.log("Year: "+moment(myDate).format("YYYY"));
console.log("Month: "+moment(myDate).format("MM"));
console.log("Month: "+moment(myDate).format("MMMM"));
console.log("Day: "+moment(myDate).format("DD"));
console.log("Day: "+moment(myDate).format("dddd"));
console.log("Time: "+moment(myDate).format("HH:mm")); // Time in24 hour format
console.log("Time: "+moment(myDate).format("hh:mm A"));

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For more info: https://momentjs.com/docs/#/parsing/string-format/

You can use this

moment().format("DD/MM/YYYY");

However, this returns a date string in the specified format for today, not a moment date object. Doing the following will make it a moment date object in the format you want.

var someDateString = moment().format("DD/MM/YYYY");
var someDate = moment(someDateString, "DD/MM/YYYY");

As version 2.20.0, you can use Special Formats (even if they are mentioned in the parsing section of the docs), for example you can use moment.HTML5_FMT.DATE to get output in YYYY-MM-DD format:

console.log(moment().format(moment.HTML5_FMT.DATE));

<script src="https://cdnjs.cloudflare.com/ajax/libs/moment.js/2.22.2/moment.min.js"></script>

If you want, you can also customize default format, to make format() (without parameter) display result in your preferred format:

console.log(moment().format());
moment.defaultFormat = 'YYYY-MM-DD';
console.log(moment().format());

<script src="https://cdnjs.cloudflare.com/ajax/libs/moment.js/2.22.2/moment.min.js"></script>

Or if you want you can extend moment using moment.fn and build a function that accepts your tokens (like 'C' and 'I'):

moment.fn.myFormat = function(token){
  if( token == 'C' ){
    return this.format('YYYY-MM-DD');
  } else if( token == 'I' ){
    return this.toISOString();
  } else {
    return this.format();
  }
}
console.log(moment().myFormat());
console.log(moment().myFormat('C'));
console.log(moment().myFormat('I'));

<script src="https://cdnjs.cloudflare.com/ajax/libs/moment.js/2.22.2/moment.min.js"></script>

The Moment prototype is exposed through moment.fn. If you want to add your own functions, that is where you would put them.

I think you just have incorrect casing in the format string. According to the documentation this should work for you: MM/DD/YYYY

moment.js documentation