Lestovka is the name of a leather object used for praying, as the one you see above, but there are no prayers named Lestovka.
Orthodox do not use the Lestovka, only the members of a russian cult called Old Believers use it, and some of the communities of Old Believers that joined the Orthodox Church, that are allowed to preserve some of their traditions use it too.
For you to understand this better, keep in mind the communities of Amisch that joined the Catholic Church, women are allowed to use the bonnet when they go to church, but the use of the bonnet is not a Roman Catholic practice.
I understand where your confusion comes from, there is a set of beads that catholics use for prayer, that is called the Rosary, but also there is a set of prayers that are called the Rosary, because they are prayed with the Rosary.
Orthodox use a different object for prayer, it's called chotki in russian, and komboskini in greek, and in other languages it's simply called prayer rope.
The traditional orthodox prayer rope is made of black wool, and it's like a string of tight knots, separated in groups of tens, by a bead made out of wood, at the end of the string, there is a cross made out of the same material.
The size of an orthodox prayer rope is different, the most common are the 33 knots, the 100 knots, and the 300 knots prayer ropes.