Here's an AND gate I built for practice and it's working with one quirk. Whenever I press the button closest to the LED by itself, the LED dimly lights up. I think there's enough voltage going through the transistor base/emitter to power the LED. How can I prevent that from happening? If it matters I have my calculations below. FYI I'm new to circuits so please talk to me like I barely know what all this means... Thanks in advance!
R1 Resistance
Vin = 9V
LED = 3V drop / .02A
Transistor 1 = .2V drop
Transistor 2 = .2V drop
R1 = (9V-3V-0.2V-0.2V)/.02A = 280 Ohms
Transistor Base Current
IC = .02A
HFE(MIN) = 200
Overdrive factor = 10
IB = .02A/200(10) = .001A
R2 and R3 Resistance
VBE(sat) = 0.7
R = (9V-0.7V)/.001A = 8300 Ohms

R1 Resistance
Vin = 9V
LED = 3V drop / .02A
Transistor 1 = .2V drop
Transistor 2 = .2V drop
R1 = (9V-3V-0.2V-0.2V)/.02A = 280 Ohms
Transistor Base Current
IC = .02A
HFE(MIN) = 200
Overdrive factor = 10
IB = .02A/200(10) = .001A
R2 and R3 Resistance
VBE(sat) = 0.7
R = (9V-0.7V)/.001A = 8300 Ohms