【Answer.】the lowest common multiple of 77 and 63 is 693.
[tex]\orange{{\hspace{50 pt}\above 1.2pt}\boldsymbol{\mathsf{Procedure}}{\hspace{50pt}\above 1.2pt} }[/tex]
To obtain the lcm (least common multiple) we must do it by simultaneous decomposition.
This method consists of extracting the common and uncommon prime factors, then
[tex]\large\displaystyle\text{$\begin{gathered}\sf \left.\begin{matrix} \blue{63 \ \ \ 77}\\ 21 \ \ \ 77\\ \ \ 7 \ \ \ 77\\ \ 1 \ \ \ 11\\ \ 1 \ \ \ 1 \end{matrix}\right|\begin{matrix} 3\\ 3\\ 7\\ 11\\ \: \end{matrix} \end{gathered}$}[/tex]
[tex]\sf{m.c.m.(63,77)=3\times3\times7\times11}[/tex]
[tex]\sf{m.c.m.(63,77)=3^{2} \times7\times11}[/tex]
[tex]\boxed{\boxed{\sf{m.c.m.(63,77)=693}}}[/tex]
