Here is the SQL Fiddle that demonstrates the following query:
SELECT *
FROM TableA AS a
JOIN TableB as b
ON a.m_id = b.m_m_id AND b.date_created =
(
SELECT MAX(bs.date_created)
FROM TableB bs
WHERE bs.m_m_id = a.m_id
LIMIT 1
)
If your tables have a lot of records you may want to apply a range in a WHERE clause to speed up the query, like so:
SELECT *
FROM TableA AS a
JOIN TableB as b
ON a.m_id = b.m_m_id AND b.date_created =
(
SELECT MAX(bs.date_created)
FROM TableB bs
WHERE bs.m_m_id = a.m_id
LIMIT 1
)
WHERE a.m_id BETWEEN 2 AND 3