Check the codec inside the M4A before choosing a target
M4A commonly carries AAC audio and can also be used with other audio encodings such as ALAC. The extension alone does not tell you whether the source is already lossy or whether a lossless master can be retained.
If the source is lossless, an MP3 copy is still a lossy output. If it is AAC, transcoding can add another lossy generation. Keep the original and use MP3 only where its wider acceptance solves a real need.