The least common multiple (LCM) of two or more non-zero integers has the property of dividing any other larger common multiple. If their prime decompositions are known, the LCM is easily obtained. For the integers 168 and 180, their respective prime decompositions are (2)(3)(7) and (2)(3)(5) then the LCM is given as (2)(3)(5)(7)=2520.
On the other hand, the least common vacuum spacetime multiple of spacetime charges is always certain product of power of 2 and certain prime integers. For example, the proton of 2 up quarks and 1 down quark with 16 spacetime charges and the neutron of 1 up quark and 2 down quarks with 14 spacetime charges, the corresponding LCM for (16,14) is 112. For the electron with 8 spacetime charges, the LCM of electron and proton ( 8,16 ) is still 16. For photon with 8 spacetime charges the LCM of photon-electron ( 8, 8 ) is 8. For a neutrino with 2 spacetime charges the neutrino-photon LCM ( 2,8 ) is 8. For W-boson with 10 spacetime charges, its LCM with the neutrino is 10, its LCM with the photon or electron is 40. For Z-boson with 16 spacetime charges, its LCM with the proton is also 16. However, its LCM with the up, charm, or top quark is 48 and its LCM with the down, strange, or bottom quark is still 16. Incidentally, LCM solves the same mathematical processes of finding the least common denominator (LCD) of rational numerical or algebraic fractions.


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