74LS74AN Binary Up-Counter
Connect the LED from Vcc through the resistor to the Q output (with the proper LED polarity, of course). 







simulate this circuit &ndash; Schematic created using CircuitLab

The 74LS outputs can sink 8mA so the resistor should be no less than about 400 ohms. Try 510 ohms. 

The sourcing capability is much less, as shown in this datasheet. The currents (-0.4mA and 8mA) represent the maximum loading with which the output is guaranteed to have valid logic output voltages including noise margin, if you abuse the output and don't need it to have a valid logic level you can get much more current but I don't advise that.