Least Common Multiple [LCM] | Canonical Decomposition, Recursion & Relation with GCD | BSc 1st Year

Описание: Least Common Multiple [LCM] | Canonical Decomposition, Recursion & Relation with GCD | BSc 1st Year

Welcome to K.Mathematics — your learning partner for BSc Mathematics, Algebra, and Number Theory.
In this lecture from the paper Introduction to Algebra and Number Theory, we study the complete concept of Least Common Multiple (LCM) with theory, examples, and important theorems.

This video is specially designed for BSc 1st Year Mathematics students and covers all important concepts required for exams and conceptual understanding.

📌 In this lecture you will learn:
✅ Definition of Least Common Multiple (LCM)
✅ LCM with simple examples
✅ Finding LCM using Canonical Decomposition (Prime Factorization Method)
✅ Relation between LCM and GCD (Important Theorem)
✅ Recursive Formula for LCM of multiple integers
✅ Step-by-step mathematical explanation for beginners

This lecture will help you in:
✔ BSc Mathematics Semester Exams
✔ Introduction to Algebra and Number Theory paper
✔ Concept building in Number Theory
✔ Competitive exam preparation

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⏱️ Time Stamps

🔹 00:00 — Introduction
🔹 00:38 — Definition of LCM and Example
🔹 03:24 — Finding LCM using Canonical Decomposition
🔹 07:18 — Theorem 1: Relation between GCD and LCM
🔹 12:55 — Theorem 2: Recursion Formula for LCM
🔹 17:44 — Outro

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📚 About the Channel — K.Mathematics
This channel provides lectures for BSc Mathematics students including Algebra, Number Theory, Real Analysis, and other core subjects with clear explanations and exam-focused content.

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