4MA1/2F Jan 2021, Question 23: HCF and LCM
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2F (Foundation) · Calculator · 2 marks
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The question, in short
Given A = 2³ × 3² × 5² × 11 and B = 2⁴ × 3 × 5⁴ × 13, find the LCM of A and B as a product of prime powers.
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Solution · 2 marks
- 1Take the highest power of each prime that appears in A or B
- 2These are 2⁴, 3², 5⁴, 11 and 13
- 3LCM = 2⁴ × 3² × 5⁴ × 11 × 13
Answer2⁴ × 3² × 5⁴ × 11 × 13
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