Concatenate rows in to 2 files

I have 2 files

FILEA
1232342
1232342
2344767
4576823
2325642

FILEB
3472328
2347248
1237123
1232344
8787890

I want the output to go into a 3rd file and look like:

FILEC
1232342 3472328
1232342 2347248
2344767 1237123
4576823 1232344
2325642 8787890

Can you please suggest how can i concatenate contents of these 2 files and rows.

check:

paste FILEA FILEB > FILEC