What is the smallest possible common multiple of two integer

Question

What is the smallest possible common multiple of two integers which are both greater than 250?

A. 251
B. 252
C. 502
D. 750
E. 884

Bunuel · Accepted Answer

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Bunuel · Answer

In this case the answer would be 502. Take the lowest integer more than 250, so 251 and multiply by 2. The LCM of 251 and 502 is 502.

Hope it's clear.

Bunuel · Answer

Notice that we are not told that the two integers must be distinct. So, if they both equal to 251 then the LCM of 251 and 251 is 251 itself.

Answer: A.

summer101 · Answer

What if the 2 integers were said to be distinct? How do you solve than?

jbca · Answer

I'm confused by the wording of the question and even more confused by the question when you add in the hypothetical "distinct."

"Smallest multiple of two numbers" leads me to think that they're asking for the LCM. So the LCM of 251 and 251 is 251. Ok so now I feel that I understand this part.

"Smallest multiple of two distinct numbers" not sure about this one. So 251 and 252 would be my hypothetical terms. Not quite sure how you get 502 without doing long division and then factoring.

Any help would be greatly appreciated.

Thanks!

How does 251 * 2 solve the distinct criteriea for the hypothetical addition to the original question?

Any help would be greatly appreciated.

Thanks!

Bunuel · Answer

The smallest integer greater then 250 is 251. The lowest multiple of 251, which is more than 251 is 502.

mywaytomba · Answer

Bunuel, can you please suggest some other/similar questions that are testing this topic? Thank you.

rever08 · Answer

But we ain't even told that the numbers are same!

Bunuel · Answer

The point is that they  could  be the same and in this case we get the smallest possible common multiple.

ammaryasser737 · Answer

I just want to express my full admiration of your skills and effort to post all this things here

Bunuel

reese71 · Answer

Is the answer A because they do not have to be 2 different numbers?

Bunuel · Answer

Please check the thread above.

What is the smallest possible common multiple of two integer

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What is the smallest possible common multiple of two integer

Prep Toolkit

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