Minimum wage only hurts, it never helps, increasing it only makes it worse. Let's take some theoretical starting minimum wage, say $5/hr, and some starting percentage of all workers who make minimum wage, say 10%. Let's say living wage at this point is $10/hr.
I'll take the opportunity to point out that entry level wage is not meant to provide a living, it is meant to give people an opportunity to enter the work force, build work history and skills, and eventually increase their buying power. Entry level wages have the added benefit of minimizing costs so that living wage level stays low.
Back to our theoretical setup above, the apparent solution to the apparent problem is to raise the minimum wage to $10/hr. Now everyone makes a living wage, right? Unfortunately the real world is more complicated than that. There are several, maybe innumerable unintended consequences to raising the minimum wage. First is the elimination or reduction of entry level jobs. Second, artificial inflation, so costs go up for everyone. Meaning living wage has now gone up to $12/hr, or more. Third everyone who was making below $10/hr now gets to take home more, but their buying power has not increased as much, and they still aren't making a living wage. Fourth, the people who were making more than minimum wage but less than living wage are now making the same as less skilled workers, and may be required to work harder to make up for the decreased work force. Beyond increasing work load, it also devalues their labor. Fifth, people who were making a living wage before did not get a wage increase, and are now not making a living wage any more. Sixth, the total percentage of the workforce making minimum wage will increase, while the percentage making a living wage decreases. Seventh, anyone who was making more than a living wage before may now be making less than living wage, making just living wage or have seen their buying power decrease to some degree. And so on...
Employers share responsibility in supressing wages, so don't misunderstand the point I'm trying to convey. Any establishment or increase of a minimum wage that is not accompanied by a commensurate increase in wages across the board amounts to nothing more than stealing buying power from skilled workers and giving it to entry level workers. We can discuss employers' part in the problem another time.