Find the LCM. 10 t^3, 5 t^4

Name: Problem 44, Chapter 7: Elementary and Intermediate Algebra
Uploaded: 2020-06-10T04:01:09-08:00
Duration: 22 s
Channel: Amy Jiang
Description: Find the LCM. 10 t^3, 5 t^4

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Key Concepts

Least Common Multiple (LCM)

The least common multiple is the smallest expression or number that each of the given expressions can divide without remainder. It is a fundamental concept in arithmetic and algebra used to combine, simplify, and compare expressions with different factors or terms.

Monomials

Monomials are algebraic expressions that consist of a single term involving a coefficient and variables raised to nonnegative integer powers. Understanding monomials is crucial since their structure—being built from numerical and variable parts—dictates how operations like multiplication or finding the LCM are performed.

Factorization and Exponent Rules

When finding the LCM of algebraic expressions such as monomials, it is important to factor each term into its numerical coefficient and its variable parts, considering the highest exponent present for common variables. This allows you to construct an LCM that contains every factor in the necessary quantity for divisibility by each expression.

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