I think, then, that you want
$n + ($m - $n % $m) % $m;
That ensures that what you are subtracting from $m is not larger than $m, and the result is the same, modulo $m.
In Perl, modulo works as it is supposed to. :-) The result is between zero and the right operand. In Java, it's broken. This allows us to simplify the expression a bit further:
$n + -$n%$m;
Caution: Contents may have been coded under pressure.
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