Chapter CSB1.3, Problem 16E

To determine

To find: The LCM of the pair of numbers 24, 32.

Answer to Problem 16E

  $\text{LCM}=96$

Explanation of Solution

Given information: The numbers 24, 32

The prime factors of the numbers are,

  $\begin{array}{l}24=2\cdot 2\cdot 2\cdot 3=2^3\cdot 3\\ 32=2\cdot 2\cdot 2\cdot 2\cdot 2=2^5\end{array}$

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

  $\therefore \text{LCM}=2^5\cdot 3=32\cdot 3=96$

Thus, the LCM of the numbers 24, 32 is 96.