Least gauge wire you would use?

Keep in mind that length is a factor here as well. If you're doing a long run (>20 feet), you should use one size larger. It doesn't hurt to use a wire size that's larger than necessary, but it will usually cost more and can be more difficult to install.
Power Wire:

10 gauge: ~35 amperes

Class D (~70% efficiency) -

Class A/B (~50% efficiency) -

8 gauge: ~55 amperes

Class D (~70% efficiency) -

Class A/B (~50% efficiency) -

6 gauge: ~87 amperes

Class D (~70% efficiency) -

Class A/B (~50% efficiency) -
from the sticky

 
16 gauge: ~8.7 amperes

8 ohms -

6 ohms -

4 ohms -

3 ohms -

2 ohms -

1 ohm -

How is 16awg good when it says its good for 75 watts at 1 ohm here?

 
16 gauge: ~8.7 amperes8 ohms -

6 ohms -

4 ohms -

3 ohms -

2 ohms -

1 ohm -

How is 16awg good when it says its good for 75 watts at 1 ohm here?
You can still use it I think, but there would be power loss and maybe heat build up. I'm not sure, but regardless I would use at least 10 gauge like I said earlier. You won't get much power loss at all using 10 awg. How long is your run from the amp to the speaker?

 
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