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# What is the smallest possible common multiple of two integer

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Re: What is the smallest possible common multiple of two integer [#permalink]
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babusona wrote:
What is the smallest possible common multiple of two integers which are both greater then 250?
1. 251
2. 252
3. 502
4. 750
5. 884

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.
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Re: What is the smallest possible common multiple of two integer [#permalink]
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Bunuel wrote:
babusona wrote:
What is the smallest possible common multiple of two integers which are both greater then 250?
1. 251
2. 252
3. 502
4. 750
5. 884

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.

What if the 2 integers were said to be distinct? How do you solve than?
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Re: What is the smallest possible common multiple of two integer [#permalink]
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, which is time consuming.

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

Any help would be greatly appreciated.

Thanks!
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Re: What is the smallest possible common multiple of two integer [#permalink]
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jbca wrote:
"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!

The smallest integer greater then 250 is 251. The lowest multiple of 251, which is more than 251 is 502.
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Re: What is the smallest possible common multiple of two integer [#permalink]
Bunuel, can you please suggest some other/similar questions that are testing this topic? Thank you.
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Re: What is the smallest possible common multiple of two integer [#permalink]
Bunuel wrote:
babusona wrote:
What is the smallest possible common multiple of two integers which are both greater then 250?
1. 251
2. 252
3. 502
4. 750
5. 884

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.

But we ain't even told that the numbers are same!
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Re: What is the smallest possible common multiple of two integer [#permalink]
Expert Reply
rever08 wrote:
Bunuel wrote:
babusona wrote:
What is the smallest possible common multiple of two integers which are both greater then 250?
1. 251
2. 252
3. 502
4. 750
5. 884

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.

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

The point is that they could be the same and in this case we get the smallest possible common multiple.
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What is the smallest possible common multiple of two integer [#permalink]
I just want to express my full admiration of your skills and effort to post all this things here

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Re: What is the smallest possible common multiple of two integer [#permalink]
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Re: What is the smallest possible common multiple of two [#permalink]
Hello from the GMAT Club BumpBot!

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Re: What is the smallest possible common multiple of two [#permalink]
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