Question

Arătaţi că a× b = (a, b)× [a, b]
a=36
b=45​

Answer 1

$36 = {3}^{2} \times {2}^{2}$

$45 = {3}^{2} \times 5$

(a,b)=3×3=9

3×3×2×2×5=180

a×b=36×45=1620

(a,b)×[a,b]=9×180=1620

1620=1620 =>

că a× b = (a, b)× [a, b]