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

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


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

By finding out whether they have any factors in common. If the only factor they have in common is 1, the LCM will be their product. If they have more factors in common, their LCM will be less than their product.


Does the HCF of any two no is always a factor of their LCM?

If two numbers are expressed as ab and cb this is easier to work out. Assume that a and c have no common prime factors. Thus, the HCF of the two numbers will be b. The LCM is the two numbers multiplied by each other, divided by the HCF. So the LCM will be abc. b is a factor of abc, and so the HCF will always be a factor of their LCM.


What is the LCM of 25 and 0?

The LCM is not defined for any set of numbers that contains a zero.


What is the LCM of any two consecutive numbers?

The LCM of any two consecutive numbers greater than zero is the two numbers multiplied together. eg. the LCM of 10 and 11 is: 10*11=110


Can you always find the LCM of 2 numbers by multiplying them and then divided them by 2?

4


Can you find the LCM of a prime number?

No. You can only find the LCM of at least two numbers, prime or otherwise. The LCM of any two prime numbers is their product.


What is the leaf the value for the LCM of any two numbers?

It is not at all clear how a leaf has any bearing on the value of the LCM.


What is the LCM of any two prime numbers?

Their product.


What two numbers LCM that is the product of the numbers?

Any two that are relatively prime.


Is the LCM of a pair of numbers ever less than both numbers?

The LCM for any pair of natural numbers can be as big as their product.


What is the least common multiple of 32 and 48?

The least common factor for any set of numbers is always 1.