An LED wedge-based lamp and method of making the lamp, where the lamp has a generally planar circuit board having one end that has electrical connections exposed thereon and a connecting part that is adapted to mechanically couple the lamp to a wedge-based lamp socket. The lamp includes an LED light engine near a second end of the circuit board, where the light engine includes plural laterally aligned LEDs whose light output mimics the light output of an incandescent lamp, such as used in automobile stop and turn signals. The lamp includes a load resistor, whose load mimics that of the incandescent lamp, on an exterior surface of the connecting part. The connecting part may be a sleeve that slides onto the circuit board. A hand grip/heat sink may be provided at the second end of the circuit board.