I stumbled upon 死に至らしめました today and since 死に至る exists, at first I was trying to understand the conjugation but then I saw that jisho consider it as a whole verb or expression. There seems to be a couple of verbs having this suffix like 懲らしめる or 成らしめる. Some are considered archaic and almost none are really considered common. Is this an old form of conjugation or simply something I missed again?

I stumbled upon 死に至らしめました today and since 死に至る exists, at first I was trying to understand the conjugation but then I saw that jisho consider it as a whole verb or expression. There seems to be a couple of verbs having this suffix like 懲らしめる or 成らしめる. Some are considered archaic and almost none are really considered common. Assuming I didn't miss anything obvious, is this an old form of conjugation?