AQA GCSE Mathematics · 8300
Specification N4 · Paper 1, Paper 2, Paper 3
Revise: Primes, Factors, and MultiplesThis is why the HCF uses the shared minimum powers, whereas the LCM uses the combined maximum powers.
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GCSE Mathematics · key term
The smallest positive whole number that is a multiple of each of the given numbers.
Used by AQA, Edexcel and OCR
Specification N4 · Paper 1, Paper 2, Paper 3
Revise: Primes, Factors, and MultiplesThis is why the HCF uses the shared minimum powers, whereas the LCM uses the combined maximum powers.
Specification N4 · Paper 1, Paper 2, Paper 3
The smallest positive integer that is a multiple of each of the given numbers.
For an HCF, use only primes shared by all the numbers and take their lowest powers. For an LCM, include every prime needed and take its highest power.
Check that an HCF divides each original number and that an LCM is a multiple of each original number.
In a context question, decide whether you need the largest equal grouping (HCF) or the first time repeating events coincide (LCM).
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It gives a reliable way to compare the factor structure of two numbers and hence find their HCF and LCM.
Specification 1.02c · Paper 1 (Foundation), Paper 2 (Foundation), Paper 3 (Foundation), Paper 4 (Higher), Paper 5 (Higher), Paper 6 (Higher)
Revise: HCF and LCMThis distinction is the foundation of HCF and LCM.