In general, it’s never recommended to waste bandwidth on two wireless systems that do the same thing independently.
That said, both systems have built-in methods for avoiding each other. LumenRadio provides Adaptive channel hopping, which happens live in real-time while the system is running. When it sees the RC4Magic signal, it attempts to avoid hopping through them.
Similarly but not in real-time, the RC4Magic system scans the band on power-up to avoid channels that are in heavy use.
By default, LumenRadio uses the entire 2.4GHz band by hopping around constantly, but with the adaptive feature noted above. This makes the RC4Magic scanning option less useful. Notably differently, RC4Magic uses just 1/15 of the band for a single DMX universe, and it stays in the same area of the band, after selecting what that will be on power-up.
LumenRadio provides configuration options for their transmitters, allowing you to block the use of specific channels. RC4Magic provides the option to manually select a fixed RF channel, so that it will always reliably be in the same place. Using a combination of these two — manually configuring both the Lumen and the RC4Magic systems to avoid each other — will provide the most ideal experience.
Sorry it’s not a shorter simpler answer. :)