I wouldn't exactly say it is easy or obvious, but with just two hyphens, you can reverse the string and it is not too hard:
with t as (select 'LD-23DSP-1430' as val)
select t.*,
LEFT(val, charindex('-', val) - 1),
SUBSTRING(val, charindex('-', val)+1, len(val) - CHARINDEX('-', reverse(val)) - charindex('-', val)),
REVERSE(LEFT(reverse(val), charindex('-', reverse(val)) - 1))
from t;
Beyond that and you might want to use split()
instead.