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Find the Least Common Multiple?

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of 10z^4 and 20z^6
asked Jan 24, 2013 in PRE-ALGEBRA by anonymous Apprentice

1 Answer

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Write the prime factorization of each monomial.

10z4 =2∙5∙z∙z∙z∙z

 20z6=2∙2∙5∙ z∙z∙z∙z∙z∙z

Write each prime factorization in the exponential form.

10z4 =2∙5∙z∙z∙z∙z=21∙51∙ z4

20z6=2∙2∙5∙ z∙z∙z∙z∙z∙z=22∙51∙ z6

Multiply the highest power of each factor in either monomial.

LCM=22∙51∙ z6=20z6

answered Jan 24, 2013 by bradely Mentor
good work!!!

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