MCQ
The least positive integer divisible by 20 and 24 is
- A480
- B240
- C360
- ✓120
✓
Answer
Correct option: D.
120
(D) 120
Explanation: Least positive integer divisible by 20 and 24 is
LCM of (20, 24).
$\begin{aligned} 20 & =2^2 \times 5 \\ 24 & =2^3 \times 3\end{aligned}$
$\therefore \operatorname{LCM}(20,24)=2^3 \times 3 \times 5=120$
Thus 120 is divisible by 20 and 24.
Explanation: Least positive integer divisible by 20 and 24 is
LCM of (20, 24).
$\begin{aligned} 20 & =2^2 \times 5 \\ 24 & =2^3 \times 3\end{aligned}$
$\therefore \operatorname{LCM}(20,24)=2^3 \times 3 \times 5=120$
Thus 120 is divisible by 20 and 24.
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