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the claim

The highest common factor is a factor of the lowest common multiple

the verdict

COMMON KNOWLEDGE

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refutedsupported

the weight of evidence

no sources on either side

The statement that the highest common factor divides the lowest common multiple is a fundamental mathematical property of integers, making it common knowledge that requires no citation.

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The analysis

The claim states a basic mathematical truth regarding the highest common factor (HCF or GCD) and the lowest common multiple (LCM) of integers (specifically, for any two positive integers a and b, HCF(a,b) always divides LCM(a,b), since their product equals their product divided by HCF, or simply because HCF divides each number which in turn divides the LCM). This is a textbook definition/property of elementary number theory and everyday mathematical observation, qualifying it as common knowledge under Step 0.

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first checked04 Aug 2026

judged → COMMON KNOWLEDGE · 9504 Aug 2026

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