Chapter CSB1.3, Problem 1E

To determine

To find: the LCM of numbers $6,8$ .

Answer to Problem 1E

The LCM of numbers is 24.

Explanation of Solution

Given:

The numbers are 6 and 8.

Calculation:

LCM means least common multiple. Least common multiple of two numbers or monomials (say a and b ) is the smallest positive number or monomial which is divisible by both the numbers or monomials ( b and a ).

Factorize each numbers as follows:

  $\begin{array}{l}6=2^1\times 3^1\\ 8=2\times 2\times 2=2^3\end{array}$

LCM of the numbers is,

  $\text{LCM}=2^3\times 3^1=24$

Thus, the LCM of numbers is 24.