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# Why do we not use zero as a least common multiple of two numbers?

Updated: 4/20/2024

Wiki User

8y ago

The reason we do not use zero as the least common multiple (LCM) of two numbers is because the LCM is defined as the smallest positive integer that is divisible by both numbers. Since zero is not a positive integer, it cannot be considered as the LCM of any two numbers. The LCM is always a positive value that is greater than zero

9091.liton

Lvl 2
1mo ago

Wiki User

8y ago

The concepts of GCF and LCM are restricted to positive integers. Zero can be considered a multiple of every number. That would make it the LCM of every set of positive integers, making the concept essentially meaningless.

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Q: Why do we not use zero as a least common multiple of two numbers?
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