I am trying to explain the least common multiple as precisely and clearly as possible, and so far I have come to the following definition.
lcm: is the smallest of all common (positive) multiples of 2 or more numbers.
With this definition I intend to cover doubts such as "if zero is a multiple of all numbers, why don't we consider it for the LCM?, and why are negative integer multiples not considered in the LCM?"
Thank you very much for reading, I hope you have a good day, greetings from Mexico.