The Apple MacBook (Early 2015) works well with LG 27UD88-W Monitor over USB Type-C but really goes on from a USB Power Delivery protocol perspective?
Using software from Granite River Labs to capture the USB Power Delivery Protocol transaction, we can see that the LG 27 inch Class Ultra HD IPS 4K 27UD88-W Monitor supports 10 watts (5 volts @ 2 amps), 36 watts (12 volts @ 3 amps), and 57 watts (19 volts @ 3 amps) power profiles.
From this USB Power Delivery protocol trace, we can see that the Apple MacBook (Early 2015) requests 29.8 watts (19 volts @ 1.57 amps).
The LG 27 inch Class Ultra HD IPS 4K 27UD88-W Monitor provides the 29 Watts requested by the Apple MacBook (Early 2015) similar to what you get from the Apple 29W USB-C Power Adapter.