LCM & HCF
Build HCF and LCM from common factors and common multiples, including the notation and non-zero condition for least common multiples.
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7 bilingual articles
Factors, Multiples, HCF and LCM Foundations
Build HCF and LCM from common factors and common multiples, including the notation and non-zero condition for least common multiples.
Open article →HCF Names, Coprimes and Calculation Methods
Learn GCD and GCF aliases, special HCF cases, relatively prime numbers, and prime-factor or common-division calculation methods.
Open article →LCM by Division and Prime Factorisation
Compute LCM with a simultaneous division ladder or the highest-exponent prime-factor rule, and verify that every input divides the result.
Open article →Choosing HCF or LCM in Word Problems
Recognise whether a problem asks for the greatest equal grouping or measure, or the least shared quantity, multiple or recurrence.
Open article →HCF and LCM Remainder and Divisibility Problems
Handle equal remainders, different remainders, exact divisibility and smallest-number boundaries by transforming the target before calculation.
Open article →LCM for Recurring Events and Time Intervals
Convert recurrence intervals to one unit, take their LCM, and add the result to the starting instant to find the next simultaneous event.
Open article →HCF–LCM Relationships and the Unknown Number Formula
Use HCF and LCM bounds, divisibility, the two-number product identity and the coprime special case to verify answers or recover a missing number.
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