Lemmara logoLemmaraWorked solution

0580/11 May/Jun 2025, Question 22: HCF and LCM

Cambridge IGCSE Mathematics 0580 · Paper 11 (Core) · Non-calculator · 3 marks

اقرأ هذا الحل مشروحاً بالعربي ←

The question, in short

Given A = 2³ × 3 and B = 3² × 5, find the HCF and LCM of the two numbers.

Summarised in our own words. Use the official paper for the exact wording and any diagrams.

Part (a) · 1 mark

Find the highest common factor of A and B.

  1. 1Common prime factor: 3
  2. 2HCF = 3

Answer3

Part (b) · 2 marks

Find the lowest common multiple of A and B.

  1. 1Highest powers: 2³ × 3² × 5
  2. 2= 8 × 9 × 5 = 360

Answer360

Stuck on a step? Read the free lesson: HCF and LCM

Practise more hcf and lcm questions

Real 0580 past-paper questions, marked on your working like the exam, with a worked solution for every part.

Practise free on Lemmara

More past-paper questions on hcf and lcm

Also searched as: 0580/11/M/J/25 · 0580_s25_qp_11 · 0580 s25 11 · question 22.
Lemmara is an independent study tool, not affiliated with or endorsed by Cambridge International Education. The worked solutions are Lemmara’s own.