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For any two positive integers x and y, an LCM exists. If it exists, we can identify it.

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6y ago
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6y ago

You can always determine a common multiple of two numbers by multiplying them together. You can find out if it's the LCM by dividing it by their GCF.

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6y ago

You need to answer this question because we don’t do math homework and your teacher is looking for your critical thinking skills and how well you understood the lesson.

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Q: Can you always determine the LCM of any 2 numbers and why simple?
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Related questions

Can you always determine the LCM of any 2 numbers?

Yes.


Is there a LCM in the numbers 301 and 371?

There is always an LCM. This one is 15,953.


What is the LCM of two numbers is t (always sometimesnever) he product of the two numbers?

The LCM of two numbers is sometimes the product of the two numbers.


Can the HCF of two numbers be a factor of their LCM?

The HCF is always a factor of the LCM of two numbers. The HCF is a factor of both the numbers which are factors of their LCM. Thus the HCF is also a factor of the LCM of the two numbers.


Is the LCM of 2 numbers the product of the 2 numbers?

Sometimes, not always.


How can you determine whether the LCM of two numbers is the product of the numbers or is less than the product of the numbers explain?

If the two numbers have no common factors other than 1, the LCM will be their product. If there are other common factors, the LCM will be less.


How can yo determine whether the LCM of two numbers is the product of the numbers or less than the product of the numbers?

If their GCF is 1, their LCM is their product. If their GCF is greater than 1, their LCM is less than their product.


Is LCM of two prime numbers is always the product of those numbers?

Yes.


How can you determine if whether the LCM of 2 numbers is the product of the numbers?

If they have no common factors other than 1.


Is the LCM of two numbers the product of the two numbers explain in words?

Not always. The product of two numbers will always be a common multiple, but it will not always be least. The product of 4 and 9 is 36. The LCM of 4 and 9 is 36. The product of 4 and 8 is 32. The LCM of 4 and 8 is 16.


What type of numbers can you multiply to always find the LCM?

prime numbers, co-prime numbers


Can you always find the LCM for two numbers by multiplying them Why or why not?

This does not work when one of the numbers is negative.