Adobe stores 3D LUTs inside XMP metadata with specific tags:

: Once saved, Photoshop generates an .xmp file containing the LUT data. Where to Find the Converted File

# Extract metadata cube_metadata = df.metadata

Now you can enjoy your cinema-grade LUTs directly in Adobe Lightroom. Happy grading.

Tools: LUT2LCP / 3DLUT Creator export to DCP / free utilities like LUT Converter or LUTCalc that produce DCP/ICC profiles which can be wrapped as .xmp Camera Raw profiles.