My own fridge does the same thing, and honestly once I realized the temp was holding steady I stopped worrying about it. As others have mentioned, modern compressors are designed to cycle frequently - it's actually more efficient than running continuously. If your LG is maintaining 38°F without swinging up and down, that cycling pattern is probably exactly what it's supposed to be doing.
That said, there's one thing worth double-checking that might reduce the noise even if nothing's actually wrong. Make sure the condenser coils (usually on the back or underneath) aren't clogged with dust and pet hair. Buildup there forces the compressor to work harder and cycle more often, even if temps stay where they need to be. Cleaning those coils takes like 15 minutes with a vacuum and could quieten things down noticeably. Also peek at the door gasket while you're at it - if there's any visible warping or gap, warm air sneaks in and triggers more cycling.
If after cleaning everything the noise is still driving you nuts but the temperature's rock solid, you're honestly just dealing with a noisier-than-you'd-like fridge rather than a broken one. Some models are just louder than others with their cycling patterns.