Luke 11:1-2

He was praying in a certain place, and after he had finished, one of his disciples said to him, “Lord, teach us to pray, as John taught his disciples.” He said to them, “When you pray, say: Father, hallowed be your name. Your kingdom come. 

We call this the “Lord’s Prayer” because it comes from Jesus.
It’s the only time recorded in the gospels where the disciples ask Jesus to teach them specifically about something. So we could call it the “Disciple’s Prayer”.
It has been adopted throughout the life of the church since the beginning of our faith as an example of what set Christians apart from others. In that sense it could be called “The Church’s Prayer”.
It was taught to us by our parent’s, teachers and mentors to help us to be part of corporate acts of worship and piety. It could be called “The Community’s Prayer”
And sometimes in our lives, when we are bereft of other words and sense through grief or joy, we may be left without comprehension except for the habit of these words to help us say that which cannot be expressed. Then it is called “Our Prayer”
Father, hallowed be your name. Your kingdom come.