Giải:
Ta có: \(\frac{a}{b}=\frac{132}{143}=\frac{12}{13}\Rightarrow\frac{a}{12}=\frac{b}{13}\)
Đặt \(\frac{a}{12}=\frac{b}{13}=k\Rightarrow a=12k,b=13k\)
\(\Rightarrow BCNN\left(a,b\right)=BCNN\left(12k;13k\right)=12.k.13=156k=1092\)
\(\Rightarrow k=7\)
\(\Rightarrow a=84;b=91\)
Vậy a = 84; b = 91