0580/23 May/Jun 2025, Question 14: HCF and LCM
Cambridge IGCSE Mathematics 0580 · Paper 23 (Extended) · Non-calculator · 2 marks
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The question, in short
Find the lowest common multiple of the algebraic terms 15xy³ and 18x⁴y.
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Solution · 2 marks
- 115xy³ = 3 × 5 × x × y³; 18x⁴y = 2 × 3² × x⁴ × y
- 2LCM of 15 and 18 = 2 × 3² × 5 = 90
- 3Highest powers: x⁴ and y³
- 4LCM = 90x⁴y³
Answer90x⁴y³
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