[ a ,b] = 216
( a , b ) = 18 atunci a = 18·k ; b = 18·t cu k , t ∈ N
si [a ,b ] · ( a , b) = a · b
216 · 18 = 18·k · 18·t
k·t = 216 :18 = 12
daca k =1 si t = 12 a =18 ; b = 12·18 = 216
k = 3 si t = 4 a = 54 ; b= 72
k =4 si t = 3 a = 72 ; b =72
k =12 si t =1 a =216 ; b = 18
