Answer :
[tex]LCM\ is\ the\ least\ common\ number\ that\ is\ multiply\ of\ both:\\\\
Factors\ of\ 45\\ 45:3\\ 15:3\\ 5:5\\\\
Factors\ of\ 66:\\ 66:2\\ 33:3\\11:11\\\\
LCM(45,66)=3^2*2*5*11=990\\\\
\textbf{LCM(45,66)=990}
[/tex]