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the claim

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

the verdict
COMMON KNOWLEDGE
Legacy classification; evidence review pending
Recorded sources
no sources on either side

Counts group repeated records of the same source within each side. They do not measure evidence strength or source independence.

Is it true that the highest common factor is a factor of the lowest common multiple?

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.

Verdict: COMMON KNOWLEDGE · 0 sources for, 0 against · Last checked

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.

What does the evidence say?

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.

Receipt History
first checked04 Aug 2026
judged → COMMON KNOWLEDGE · 9504 Aug 2026
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