Find the Least Common Multiple?

Question

of 10z^4 and 20z^6

Answer 1

 

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

Comments

good work!!!