alleryThe prime factorizations of 96 and 404 are $96=2^5\times 3$ and $404=2^2\times 101$. What is their LCM?
A$404$
B$9696$
C$96$
D$2424$
Answer & Solution
Correct answer: B. $9696$
Take the greatest powers of all primes appearing in the two numbers: $2^5$, $3$, and $101$.
**So $\operatorname{LCM}=2^5\times 3\times 101=32\times 303=9696$.**
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