Using a solution strategy: problem solving math?

I want to tell you about Batiscomb and the problem he was having with nightmares. batiscom was have some bad recurring nightmares. Every 19 days he was having a nightmare about 19 ghosts scaring him out of his wits by jumping out of a 1919 hupmobile and saying boo 19 times. he was also having a nightmare every 13 days about 13 black cats crossing his path in from of his home, located at 1313 thirteenth st. He had a bad week in April when on the night of friday april 5th he had the nightmare about the 19 ghosts saying boo 19 times. they very next night he had the nightmare abou the 13 black cats, Batty knows he can handle these nightmares when they occur from time to time but lately hes been really worried that they might both occur on the same night. DO they ever occur on the same night by the end of the year? if so on what date?