Work out the lowest common multiple (LCM) of 36 and 120 (2) $$\(A=5^{2} \times 7^{4} \times 11^{p}\)$$ $$\(B=5^{m} \times 7^{n-5} \times 11\)$$ $$\(m, n\)$$ and $$\(p\)$$ are integers such that $$\(m> 2\)$$ $$\(n> 10\)$$ $$\(p> 1\)$$ (b) Find the highest common factor (HCF) of $$\(A\)$$ and $$\(B\)$$ Give your answer as a product of powers of its prime factors. (2)

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