Chapter CSB1.3, Problem 15E

To determine

To find: The LCM of the pair of numbers 18, 32.

Answer to Problem 15E

  $\text{LCM}=288$

Explanation of Solution

Given information: The numbers 18, 32

The prime factors of the numbers are,

  $\begin{array}{l}18=2\cdot 3\cdot 3=2\cdot 3^2\\ 32=2\cdot 2\cdot 2\cdot 2\cdot 2=2^5\end{array}$

The prime factors of the numbers are 2 and 3. Now, multiplying the greatest powers of 2 and 3 appearing in either factorization.

  $\therefore \text{LCM}=2^5\cdot 3^2=32\cdot 9=288$

Thus, the LCM of the numbers 18, 32 is 288.