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Find the LCM and HCF of m and n , if m=2004! and n=2005×2006×2007×2008×2009

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Find the LCM and HCF of m and n , if m=2004! and n=2005×2006×2007×2008×2009
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by (35 points)
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m=2004!

=1×2×3×4×...........2004×2005⁰×2006⁰×2007⁰×2008⁰×2009⁰

n=2005×2006×2007×2008×2009×1⁰×2⁰×3⁰×4⁰............×2004⁰

LCM=1×2×3×......×2004×2005×....

2009=2009!

HCF=1×1×1....=1

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