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Lowest Common Multiple Demo by nikolina.petrova

Lowest Common Multiple Demo by nikolina.petrova
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2016-01-19 08:13
FunctionGeometric ConstructionSlider Animation
In collections Division Concepts
This example demonstrates how to calculate the lowest common multiple (LCM) of two integers. It involves core mathematical concepts like prime factorization, greatest common divisor (GCD), and LCM. Constructed using GeoGebra commands/objects such as Textfield, TableText, PrimeFactors, GCD, LCM. Suitable for middle school students and above to learn fundamental number theory concepts.

GeoGebra Commands & Parameters

  1. Textfield(a) → inputBox1
  2. Textfield(b) → inputBox2
  3. Textfield(c) → inputBox3
  4. TableText({{A2}, {A3}, {A4}, {A5}, {A6}, {A7}, {A8}, {A9}, {A10}, {A11}, {A12}, {A13}, {A14}, {A15}, {A16}, {A17}, {A18}, {A19}, {A20}, {A21}, {A22}, {A23}, {A24}, {A25}, {A26}, {A27}, {A28}, {A29}, {A30}, {A31}, {A32}, {A33}, {A34}, {A35}, {A36}, {A37}, {A38}, {A39}, {A40}, {A41}, {A42}, {A43}, {A44}, {A45}, {A46}, {A47}, {A48}, {A49}, {A50}, {A51}, {A52}, {A53}, {A54}, {A55}, {A56}, {A57}, {A58}, {A59}, {A60}, {A61}, {A62}, {A63}, {A64}, {A65}, {A66}, {A67}, {A68}, {A69}, {A70}, {A71}, {A72}, {A73}, {A74}, {A75}, {A76}, {A77}, {A78}, {A79}, {A80}, {A81}, {A82}, {A83}, {A84}, {A85}, {A86}, {A87}, {A88}, {A89}, {A90}, {A91}, {A92}, {A93}, {A94}, {A95}, {A96}, {A97}, {A98}, {A99}, {A100}, {A101}, {A102}, {A103}, {A104}, {A105}, {A106}, {A107}, {A108}, {A109}, {A110}, {A111}, {A112}, {A113}, {A114}, {A115}, {A116}, {A117}, {A118}, {A119}, {A120}, {A121}, {A122}, {A123}, {A124}, {A125}, {A126}, {A127}, {A128}, {A129}, {A130}, {A131}, {A132}, {A133}, {A134}, {A135}, {A136}, {A137}, {A138}, {A139}, {A140}, {A141}, {A142}, {A143}, {A144}, {A145}, {A146}, {A147}, {A148}, {A149}, {A150}, {A151}, {A152}, {A153}, {A154}, {A155}, {A156}, {A157}, {A158}, {A159}, {A160}, {A161}, {A162}, {A163}, {A164}, {A165}, {A166}, {A167}, {A168}, {A169}, {A170}, {A171}, {A172}, {A173}, {A174}, {A175}, {A176}, {A177}, {A178}, {A179}, {A180}, {A181}, {A182}, {A183}, {A184}, {A185}, {A186}, {A187}, {A188}, {A189}, {A190}, {A191}, {A192}, {A193}, {A194}, {A195}, {A196}, {A197}, {A198}, {A199}, {A200}}, "|_") → Multiples_1
  5. TableText({{C2}, {C3}, {C4}, {C5}, {C6}, {C7}, {C8}, {C9}, {C10}, {C11}, {C12}, {C13}, {C14}, {C15}, {C16}, {C17}, {C18}, {C19}, {C20}, {C21}, {C22}, {C23}, {C24}, {C25}, {C26}, {C27}, {C28}, {C29}, {C30}, {C31}, {C32}, {C33}, {C34}, {C35}, {C36}, {C37}, {C38}, {C39}, {C40}, {C41}, {C42}, {C43}, {C44}, {C45}, {C46}, {C47}, {C48}, {C49}, {C50}, {C51}, {C52}, {C53}, {C54}, {C55}, {C56}, {C57}, {C58}, {C59}, {C60}, {C61}, {C62}, {C63}, {C64}, {C65}, {C66}, {C67}, {C68}, {C69}, {C70}, {C71}, {C72}, {C73}, {C74}, {C75}, {C76}, {C77}, {C78}, {C79}, {C80}, {C81}, {C82}, {C83}, {C84}, {C85}, {C86}, {C87}, {C88}, {C89}, {C90}, {C91}, {C92}, {C93}, {C94}, {C95}, {C96}, {C97}, {C98}, {C99}, {C100}, {C101}, {C102}, {C103}, {C104}, {C105}, {C106}, {C107}, {C108}, {C109}, {C110}, {C111}, {C112}, {C113}, {C114}, {C115}, {C116}, {C117}, {C118}, {C119}, {C120}, {C121}, {C122}, {C123}, {C124}, {C125}, {C126}, {C127}, {C128}, {C129}, {C130}, {C131}, {C132}, {C133}, {C134}, {C135}, {C136}, {C137}, {C138}, {C139}, {C140}, {C141}, {C142}, {C143}, {C144}, {C145}, {C146}, {C147}, {C148}, {C149}, {C150}, {C151}, {C152}, {C153}, {C154}, {C155}, {C156}, {C157}, {C158}, {C159}, {C160}, {C161}, {C162}, {C163}, {C164}, {C165}, {C166}, {C167}, {C168}, {C169}, {C170}, {C171}, {C172}, {C173}, {C174}, {C175}, {C176}, {C177}, {C178}, {C179}, {C180}, {C181}, {C182}, {C183}, {C184}, {C185}, {C186}, {C187}, {C188}, {C189}, {C190}, {C191}, {C192}, {C193}, {C194}, {C195}, {C196}, {C197}, {C198}, {C199}, {C200}}, "|_") → Multiples_3
  6. TableText({{B2}, {B3}, {B4}, {B5}, {B6}, {B7}, {B8}, {B9}, {B10}, {B11}, {B12}, {B13}, {B14}, {B15}, {B16}, {B17}, {B18}, {B19}, {B20}, {B21}, {B22}, {B23}, {B24}, {B25}, {B26}, {B27}, {B28}, {B29}, {B30}, {B31}, {B32}, {B33}, {B34}, {B35}, {B36}, {B37}, {B38}, {B39}, {B40}, {B41}, {B42}, {B43}, {B44}, {B45}, {B46}, {B47}, {B48}, {B49}, {B50}, {B51}, {B52}, {B53}, {B54}, {B55}, {B56}, {B57}, {B58}, {B59}, {B60}, {B61}, {B62}, {B63}, {B64}, {B65}, {B66}, {B67}, {B68}, {B69}, {B70}, {B71}, {B72}, {B73}, {B74}, {B75}, {B76}, {B77}, {B78}, {B79}, {B80}, {B81}, {B82}, {B83}, {B84}, {B85}, {B86}, {B87}, {B88}, {B89}, {B90}, {B91}, {B92}, {B93}, {B94}, {B95}, {B96}, {B97}, {B98}, {B99}, {B100}, {B101}, {B102}, {B103}, {B104}, {B105}, {B106}, {B107}, {B108}, {B109}, {B110}, {B111}, {B112}, {B113}, {B114}, {B115}, {B116}, {B117}, {B118}, {B119}, {B120}, {B121}, {B122}, {B123}, {B124}, {B125}, {B126}, {B127}, {B128}, {B129}, {B130}, {B131}, {B132}, {B133}, {B134}, {B135}, {B136}, {B137}, {B138}, {B139}, {B140}, {B141}, {B142}, {B143}, {B144}, {B145}, {B146}, {B147}, {B148}, {B149}, {B150}, {B151}, {B152}, {B153}, {B154}, {B155}, {B156}, {B157}, {B158}, {B159}, {B160}, {B161}, {B162}, {B163}, {B164}, {B165}, {B166}, {B167}, {B168}, {B169}, {B170}, {B171}, {B172}, {B173}, {B174}, {B175}, {B176}, {B177}, {B178}, {B179}, {B180}, {B181}, {B182}, {B183}, {B184}, {B185}, {B186}, {B187}, {B188}, {B189}, {B190}, {B191}, {B192}, {B193}, {B194}, {B195}, {B196}, {B197}, {B198}, {B199}, {B200}}, "|_") → Multiples_2
  7. PrimeFactors(a) → list1
  8. PrimeFactors(b) → list2
  9. PrimeFactors(c) → list3
  10. GCD({a, b, c}) → e
  11. LCM({a, b, c}) → d
  12. LCM(a, b) → i

AI Drawing Prompt Reference

Create a mathematical demonstration showing the least common multiple of two integers. Include two input boxes for entering integers, display their multiples in separate lists with different colors, show the prime factorization of both numbers, calculate and display their greatest common divisor and least common multiple, and finally calculate and display the least common multiple of the two numbers.
The prompt above was compiled from the original drawing commands and is for reference only.