I'm using the LP3855-Adj with a 6 Volt input, and trying for an output voltage of 5.6V. The output never goes above 5.4V, though I can adjust it lower. I've try both increasing and decreasing the input voltage. It still regulates to 5.4V with an input voltage of only 5.6V or an input voltage of 6.3V. Below is my schematic, it is a 20k potentiometer, and above ~16k resistance, the output voltage remains the same. The total load is approximately 100mA.