Use a value/name on the button.
View
<form action="/url" method="post">
<input name="some_field" value="1">
<button type="submit" name="form1">Submit 2</button>
</form>
<form action="/url" method="post">
<input name="some_field" value="1">
<button type="submit" name="form2">Submit 2</button>
</form>
Controller
if ($request->has('form1') {
return 'form1 was submitted';
}
if ($request->has('form2') {
return 'form2 was submitted';
}