Chapter CSB1.3, Problem 11E

To determine

To find: The LCM of 15, 75.

Answer to Problem 11E

  $\text{LCM}=75$

Explanation of Solution

Given information: The numbers 15, 75

Calculation: The prime factors of 15, 75 are,

  $\begin{array}{l}15=3\cdot 5\\ 75=3\cdot 5\cdot 5=3\cdot 5^2\end{array}$

The prime factors of the numbers are 3 and 5. Multiplying the greatest power of 3 and 5 appearing in either factorization,

  $\text{LCM=3}\cdot 5^2=75$

Thus, LCM of 15, 75 is 75.