Decor, to a large extent you will be starting from scratch with your education again - this is a totally different training and qualification system to the MEng-->CEng system that you have gone through so far.
Don't look for the route from MEng to LAME. That route doesn't exist. The main crossovers are the words "aeroplane" and "engineer", the actual work is totally different to what your education has been pointing you at.
It'll probably take about as long as your degree has so far.
G