Raising minimum wage *past a certain point* won't help anyone. If you've ever done basic calculus you will have come across the concept of oprimization - in the abstract for instance, finding where the derivative of a function that's some sort of concave-down curve crosses zero.

The minimum wage will be like that. If you graphed the spending power of the minimum wage people (their income minus their expenses) it will probably be some kind of curve. Starting from zero, the graph will slope upwards, until you hit a peak, and then it will slope downwards as the increased labour cost exceeds the benefit of higher wages.

We are probably somewhere to the left of this optimal point. The increase LA is making probably will move people closer to the optimal point. Increasing the minimum wage to $100/hr will move you to a point far to the right of the point at which the first derivative of the graph crosses zero.