max

to the max (American, informal)

as much as possible. We're stretched to the max - we can't possibly take on any more work. A lot of these guys push their bodies to the max, spending three or more hours a day in the gym.

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max (yourself) out

to reach a limit. By Christmas our credit cards were maxed out. This great athlete hasn't maxed herself out — yet.

Etymology: based on the literal meaning of maximum (= the greatest amount possible)

to the max

to the highest degree or level. She does what she wants, living her life to the max and enjoying every moment.