\[\boxed{\text{433\ (433).}\text{\ }\text{Еуроки\ -\ ДЗ\ без\ мороки}}\]
\[При\ a = 17\ 296;\ \ \ b = 8:\]
\[a \cdot b = 17\ 296 \cdot 8 = 138\ 368.\]
\[При\ a = 137\ 009;\ \ \ b = 7:\]
\[a \cdot b = 137\ 009 \cdot 7 = 959\ 063.\]