What is the smallest multiple that is common to two or more numbers?

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The least common multiple (LCM) is defined as the smallest positive integer that is a multiple of two or more numbers. For example, if you are considering the numbers 4 and 6, their multiples are 4, 8, 12, 16, ... and 6, 12, 18, 24, ... The smallest multiple that appears in both lists is 12, which is the LCM of 4 and 6.

Conversely, the lowest common denominator (LCD) primarily relates to fractions and represents the smallest common multiple of the denominators of those fractions, rather than just a general term for common multiples. The greatest common factor (GCF) refers to the largest number that divides two or more numbers without a remainder, which is a different concept than identifying a common multiple. A common factor is any number that can evenly divide two or more numbers, not specifically focusing on multiples.

Thus, recognizing that the inquiry is about finding the smallest multiple common to a set of numbers validates that the least common multiple is indeed the precise answer, as it highlights that ultimate objective of determining that smallest value shared within the multiples of the given numbers.

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