How to make a cleaner code that counts multiple button clicks using vanilla JS?

I’m using a counter for button clicks and it’s working fine, but I would like to ask how I can make it cleaner and less repetitive and still do the same function?

To give a perspective, I’m using this to track usage of hundreds of buttons, therefore the code can look really messy if I stick to use my current script.

How would I go about and make this simpler and cleaner?

    function clickCounter1() {
        if (typeof (Storage) !== "undefined") {
            if (localStorage.clickcount1) {
                localStorage.clickcount1 = Number(localStorage.clickcount1) + 1;
            } else {
                localStorage.clickcount1 = 1;
            }
            document.getElementById("result1").innerHTML = "Btn 1: " + localStorage.clickcount1;
        }
    }
    function clickCounter2() {
        if (typeof (Storage) !== "undefined") {
            if (localStorage.clickcount2) {
                localStorage.clickcount2 = Number(localStorage.clickcount2) + 1;
            } else {
                localStorage.clickcount2 = 1;
            }
            document.getElementById("result2").innerHTML = "Btn 1: " + localStorage.clickcount2;
        }
    }
    function clickCounter3() {
        if (typeof (Storage) !== "undefined") {
            if (localStorage.clickcount3) {
                localStorage.clickcount3 = Number(localStorage.clickcount3) + 1;
            } else {
                localStorage.clickcount3 = 1;
            }
            document.getElementById("result3").innerHTML = "Btn 1: " + localStorage.clickcount3;
        }
    }
<button onclick="clickCounter1()" type="button">Click me!</button>
<button onclick="clickCounter2()" type="button">Click me!</button>
<button onclick="clickCounter3()" type="button">Click me!</button>

<br>

<div id="result1"></div>
<div id="result2"></div>
<div id="result3"></div>

Important functions are just two:

  1. Count the clicks for each button
  2. Store in local storage

Thank you very much in advance!