【Rep.】The least common multiple of 12 and 24 is 24.
[tex]\red{ {\hspace{50 pt}\above 1.2pt}\boldsymbol{\mathsf{Procedure}}{\hspace{50pt}\above 1.2pt}}[/tex]
To obtain the least common multiple (lcm) we must do it by simultaneous decomposition.
This method consists of extracting the common and uncommon prime factors, then
[tex]\large\displaystyle\text{$\begin{gathered}\sf \left.\begin{matrix} \blue{12 \ \ \ 24}\\ \ 6 \ \ \ 12\\ \ 3 \ \ \ \ 6\\ \ 3 \ \ \ \ 3\\ \ 1 \ \ \ \ 1 \end{matrix}\right|\begin{matrix} 2\\ 2\\ 2\\ 3\\ \: \end{matrix} \end{gathered}$}[/tex]
[tex]\sf{L.c.m.(12,24)=2\times2\times2\times3}[/tex]
[tex]\sf{L.c.m.(12,24)=2^{3}\times3 }[/tex]
[tex]\boxed{\boxed{\sf{L.c.m.(12,24)=24}}}[/tex]
