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Question

Let m=2010! and n=2011×2012×2013. Find the L.C.M of m and n

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Solution

L.C.M of (m,n) is the least common multiple of (m,n)

=L.C.M of (2010!,2011×2012×2013)

=2013×2012×2011×2010!

=2013!

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