\(\begin{array}{c|c} 2 & 506 \\ \hline 11 & 253\\\hline23&23\\\hline &1 \end{array}\) \(\begin{array}{c|c} 5 & 115 \\ \hline23&23\\\hline &1 \end{array}\)
Prime Factorisation 506 & 115 are
506 = 2 x 11 x 23
115 = 5 x 23
∴ HCF(506, 115) = 23
LCM(506, 115) = 23 x 2 x 11 x 5 = 2530