A dynamic range is the concentration range, over which sample concentrations are routinely quantified when a validated method is used.
The LOD is the minimum concentration which can be accurately and precisely quantified for a validated method. This will naturally be even lower than the lowest level of the dynamic range, or the lowest level of the dynamic range.
I am sorry, but I have just noticed that I misread your question. My response should be:-
A dynamic range is the concentration range, over which sample concentrations are routinely quantified when a validated method is used.
The LOD is the minimum concentration which can be precisely detected, for a validated method. This will naturally be far lower than the lowest level of the dynamic range.