If Lǫgmaðr was indeed a crusader, it is uncertain which particular crusade he undertook. One possibility is that he took part in the First Crusade, a movement that reached its climax with the successful siege and capture of Jerusalem in mid 1099. Lǫgmaðr could have embarked upon this enterprise in about 1096, the year the pope's calls reached England. Alternately, in light of Lǫgmaðr's capture by the Norwegians in 1098, it is conceivable that his release from custody was made conditional upon his exile and participation in the First Crusade. On the other hand, it is not impossible that Lǫgmaðr originally undertook a pilgrimage before catching wind of the crusade en route.