Real numbers
Grade Class 10
Question:
<p>The LCM of smallest 2-digit number and smallest composite number is</p>
<p style="display:inline">20</p>
<p style="display:inline">4</p>
<p style="display:inline">12</p>
<p style="display:inline">40</p>
Step-by-Step Solution
Key Concept: Identify the specific numerical values for the given categories and calculate their Least Common Multiple (LCM) using prime factorization.
<p>As we know, the smallest two-digit number is 10 and the smallest composite number is 4.<br />
By prime factorisation, we get;<br />
4 = 2 <span class="math-tex">$\times$</span> 2<br />
10 = 2 <span class="math-tex">$\times$</span> 5<br />
Now, LCM of 4, 10 = 2 <span class="math-tex">$\times$</span> 2 <span class="math-tex">$\times$</span> 5 = 20<br />
Therefore, the LCM of the smalles two-digit number and the smallest composite number is 20.</p>
Correct Answer: A