Chapter CSB1.3, Problem 9E

To determine

To find: The LCM of $2,9$

Answer to Problem 9E

  $\text{LCM}=18$

Explanation of Solution

Given information: The numbers $2,9$

Calculation: The prime factors of $2,9$ are,

  $\begin{array}{l}2=2\\ 9=3\cdot 3=3^2\end{array}$

The prime factors of the numbers are 2 and 3. Multiplying the greatest power of 2 and 3 appearing in either factorization,

  $\text{LCM=2}\cdot {\text{3}}^2=18$

Thus, LCM of $2,9$ is 18.