I still puzzle how a single LED with a single current limiting resistor (100K, 0.25W) can work under high stress at mains voltage (240V 50Hz). On the CREE 5mm LED datasheet, the reversed breakdown voltage is only 5 volt, and during the non-conducting half cycle (no light producing), the LED receives reversed voltage as high as 339V (peak values of RMS 240V), without collapsing and without any diode protection.....only two components, one LED and one resistor. Fyi, I tested before a LED (only one time) in reversed biased at 15V from a desktop power supply unit and it was gone instantly!
https://www.electro-tech-online.com...-powered-from-230v.117495/page-5#post-1041139 will answer your question about the reverse voltage. In fact it is reverse current that the LED stands.
The reverse breakdown voltage of LEDs varies enormously. Some of the brighter ones are not rated for any reverse voltage. If you didn't have current limiting resistor, and breakdown was less than 15 V there will be a lot of current. Even with a current limiting resistor, the power may be a lot more than normal, and powerful LEDs will burn out very quickly if the max power is exceeded. There could well be other breakdown mechanisms in some LEDs.