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Let and the relation < be defined on L such that x < y if x divides y. Let us draw the Hasse diagram.
The Hasse diagram is a graphical rendering of a partially ordered set displayed via the cover relation of the partially ordered set with an implied upward orientation. A point is drawn for each element of the poset, and line segments are drawn between these points according to the following two rules:
1. If in the poset, then the point corresponding to appears lower in the drawing than the point corresponding to .
2. The line segment between the points corresponding to any two elements and of the poset is included in the drawing iff covers or covers .
In our case, if and only if Therefore, the Hasse diagram is the following: