Marinada '22

[lang=en] It is true that $\overline{AB} \times \overline{CD} = \overline{EFGH}$ where each of the letters $A$, $B$, $C$, $D$, $E$, $F$, $G$, $H$ represents a different digit and the values of $A$, $C$ and $E$ are all nonzero. Find the smallest possible $\overline{EFGH}$. Note that $\overline{EFGH}$ denotes four digit number with digits $E$, $F$, $G$ and $H$. [/lang] [lang=hr] Vrijedi $\overline{AB} \times \overline{CD} = \overline{EFGH}$ gdje sva slova $A$, $B$, $C$, $D$, $E$, $F$, $G$, $H$ označavaju različite znamenke, i $A$, $C$ ni $E$ nisu nula. Pronađi najmanji mogući $\overline{EFGH}$. Oznaka $\overline{EFGH}$ označava četveroznamenkasti broj sa znamenkama $E$, $F$, $G$ i $H$. [/lang]