I have to wonder if RIC 244 is an error and should be LC rather than LDC.
RIC only cites the BM for RIC 244, but the BM has no such coin online. The OCRE website only shows what I'd regard as an LC bust to illustrate RIC 244, although it does also link to a page for the BM coin without any photo.
http://numismatics.org/ocre/id/ric.6.lug.244Here's another LC specimen, sold in G&M 299.
I wonder if that little fold of drapery (or what is it?) on the far right shoulder might be why this was called an LDC bust, if it's perhaps not just an error?
There do exist unlisted LDC busts for Constantine as augustus in this issue (for other reverse types), but they are very rare (a carry over from Constantine as caesar). Even if the BM coin is a real LDC bust, it's atypical, with LC & LDCR busts being normal for this issue.
Incidentally, I see that Not In RIC notes that RIC VI Lyons 250 (Concordia Perpet) is an error - citing the BM for this LC bust when in fact the BM coin is LDCR. Maybe Carson and Sutherland had enjoyed a few too many British pints before cataloging these coins ?