Chapter SH, Problem 2.6E

To determine

To find: The $\text{LCM}$ of each set of numbers.

Answer to Problem 2.6E

The least common multiple $\text{LCM}\left(14,21\right)=42$ .

Explanation of Solution

Given:

The given set of numbers are $\text{14}\text{and}\text{21}$ .

Calculation:

The least common multiple is calculated as:

  $\begin{array}{c}\text{Primefactors of}14=2\times 7\\ \text{Primefactors of 21}=\text{3}\times \text{7}\\ \text{LCM}\left(14,21\right)=2\times 3\times 7\\ \text{LCM}\left(14,21\right)=42\end{array}$

Therefore the least common multiple $\text{LCM}\left(14,21\right)=42$ .