Question

Question 10 (a)

Find the LCM of the following numbers:
9 and 4
Observe a common property in the obtained LCMs. Is LCM the product of two numbers in each case?

Answer 1

The least common multiple (LCM) of 2 or more numbers is the smallest number that they all divide evenly.

$\begin{array}{cc}2& 9,4\\ 2& 9,2\\ 3& 9,1\\ 3& 3,1\\ & 1,1\end{array}$

LCM of 9 and 4
= $2\times 2\times 3\times 3$
= 36
Yes, the LCM is equal to the product of two numbers in this case because both 9 and 4 do not have any common factor. And LCM is also the multiple of 3.