Chapter CSB1.3, Problem 17E

To determine

To find: The LCM of the pair of monomials $20c,12c$ .

Answer to Problem 17E

  $\text{LCM}=60c$

Explanation of Solution

Given information: The monomials $20c,12c$

The prime factors of the numbers are,

  $\begin{array}{l}20c=2\cdot 2\cdot 5\cdot c=2^2\cdot 5\cdot c\\ 12c=2\cdot 2\cdot 3\cdot c=2^2\cdot 3\cdot c\end{array}$

The prime factors of the numbers are 2, 3, 5 and c . Now, multiplying the greatest powers of 2, 3, 5 and c appearing in either factorization.

  $\therefore \text{LCM}=2^2\cdot 3\cdot 5\cdot c=60c$

Thus, the LCM of the monomials $20c,12c$ is $60c$ .