# Calculator search results

Formula
Find the greatest common factor
Find the least common multiple
$2,9$
$1$
Find the greatest common factor
$\color{#FF6800}{ 2 } , \color{#FF6800}{ 9 }$
 Do prime factorization 
$\begin{cases} 2 = \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 1 } } \\ 9 = \color{#FF6800}{ 3 } ^ { \color{#FF6800}{ 2 } } \end{cases}$
$\begin{cases} 2 = 2 ^ { 1 } \\ 9 = 3 ^ { 2 } \end{cases}$
 There are no common prime factors 
$\begin{cases} 2 = 2 ^ { 1 } \\ 9 = 3 ^ { 2 } \\ \text{There are no common factors} \end{cases}$
$\begin{cases} 2 = 2 ^ { 1 } \\ 9 = 3 ^ { 2 } \\ \text{There are no common factors} \end{cases}$
 If there is no common factor, the greatest common factor is 1 
$\color{#FF6800}{ 1 }$
$18$
Find the least common multiple
$\color{#FF6800}{ 2 } , \color{#FF6800}{ 9 }$
 Do prime factorization 
$\begin{cases} 2 = \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 1 } } \\ 9 = \color{#FF6800}{ 3 } ^ { \color{#FF6800}{ 2 } } \end{cases}$
$\begin{cases} 2 = 2 ^ { 1 } \\ 9 = 3 ^ { 2 } \end{cases}$
 There are no common prime factors 
$\begin{cases} 2 = 2 ^ { 1 } \\ 9 = 3 ^ { 2 } \\ \text{There are no common factors} \end{cases}$
$\begin{cases} 2 = \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 1 } } \\ 9 = \color{#FF6800}{ 3 } ^ { \color{#FF6800}{ 2 } } \\ \text{There are no common factors} \end{cases}$
 Multiply all non-common prime factors, $2 , 3$ and choose the exponent of the power from one of equal to or greater 
$\begin{cases} 2 = \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 1 } } \\ 9 = \color{#FF6800}{ 3 } ^ { \color{#FF6800}{ 2 } } \\ \text{Least common multiple (LCM)} :\text{ } \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 1 } } \color{#FF6800}{ \times } \color{#FF6800}{ 3 } ^ { \color{#FF6800}{ 2 } } \end{cases}$
$\begin{cases} \color{#FF6800}{ 2 } = \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 1 } } \\ \color{#FF6800}{ 9 } = \color{#FF6800}{ 3 } ^ { \color{#FF6800}{ 2 } } \\ \text{Least common multiple (LCM)} :\text{ } \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 1 } } \color{#FF6800}{ \times } \color{#FF6800}{ 3 } ^ { \color{#FF6800}{ 2 } } \end{cases}$
 Find the least common multiple 
$\color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 1 } } \color{#FF6800}{ \times } \color{#FF6800}{ 3 } ^ { \color{#FF6800}{ 2 } }$
$\color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 1 } } \color{#FF6800}{ \times } \color{#FF6800}{ 3 } ^ { \color{#FF6800}{ 2 } }$
 Simplify the expression 
$\color{#FF6800}{ 2 } \color{#FF6800}{ \times } \color{#FF6800}{ 9 }$
$\color{#FF6800}{ 2 } \color{#FF6800}{ \times } \color{#FF6800}{ 9 }$
 Multiply $2$ and $9$
$\color{#FF6800}{ 18 }$
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