Court found lack of personal jurisdiction dismiss with or without prejudice ?

Your question assumes too much. Lack of personal jurisdiction usually means improper service. In most circumstances proper service is all that would be required to obtain personal jurisdiction so the complaint would not be dismissed, but rather a motion to quash would merely be granted and the complaint would survive to be re-served along with the summons. However, if the court ordered the complaint dismissed, it is always without prejudice unless specifically ordered with prejudice by the court.

A dismissal for lack of personal jurisdiction is always without prejudice. A dismissal with prejudice is an adjudication on the merits - the court decides that the plaintiff does not have a case. A dismissal for lack of personal jurisdiction can never be on the merits - the court never reaches the question of whether the plaintiff has a case, because it lacks jurisdiction to hear a case against the defendant.

I agree with Alan Ray Barnes. I agree with Michael Daymude.