LPFM Radio stations are for non-profit groups that have no media they control. If I worked at a radio station, I could be a part of a non-profit running a LPFM. If I owned 5% of that station as a managing partner I could not be on any board of any LPFM because I have 'control' (if even just 5%) of another FCC licensed station. So, if the KKLO buyer is the same board comprising the LPFM, they must stipulate to the FCC that upon approval of the sale they will immediately divest of the LPFM.
There are other entities that have both an LPFM and full power stations. An example is Sun Radio in Austin that evolved from their LPFM in Dripping Springs. Certainly the full power and low power boards are separate entities who voluntarily cooperate, carefully constructed to be separate entities independent of one another.
Obviously some groups do not follow the FCC Rules and manage to 'get away' with things for what seems way too long but at least these are few in number. Most broadcasters are quite serious about following the rules (regardless of all the engineer's war stories).
KKLO in Leavenworth was a 1kw. AM daytimer when I lived in Kansas City in the mid to late 1960s. They ran a religious format and there seemed to be some competitiveness with KCCV, then a 1kw. at 1510 with studios in Blue Ridge Mall in Independence. KKLO had an FM that ran separate programming, a beautiful music format that, for some reason, I suspected might be more of a homebrew or lesser-known company (ie: Peters Productions versus Tanner or Drake Chenault). I recall the FM had few commercials and may have been entirely instrumental (no vocal every 15 minutes as was typical in the 1965-1969 time frame). At the time KKLO was a Kansas City station as the noise floor allowed decent coverage and Kansas City was only about 500,000 in population. There just wasn't too much west of Nolan Road at I-70 during that time. In fact when I moved there in 4th grade, we lived in an apartment in Tomashaw Villiage with Wild Woody's within view (an early K-Mart/Walmart sort of place with almost a warehouse feel). I could hear KKLO clearly on my transistor radio although I preferred WHB 710 (then the Storz run Top 40 powerhouse with folks like Richard Ward Fatherly, Johnny Dolan and Phil Jay as on air folks).