For any two positive integers x and y, an LCM exists. If it exists, we can identify it.
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.
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.
The LCM is not defined for any set of numbers that contains a zero.
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
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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.
It is not at all clear how a leaf has any bearing on the value of the LCM.
Their product.
Any two that are relatively prime.
The LCM for any pair of natural numbers can be as big as their product.
The least common factor for any set of numbers is always 1.