In this work the new method of determining the Least Common Multiple (LCM) of natural numbers is described. This algorithm is the new mathematical tool which optimizes the calculations of LCM of natural numbers. This algorithm enables to obtain the results of equivalence of the characteristic semigroups calculations of the direct sum and the direct product of the some classes of the automata which are the mathematical (algebraical) models of the appropriately sequented and parallel structures of these classes of the automata. The automaton is meant here as the mathematical model that describes the way of the Information processing by the various digital systems.
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