Math Problem Statement
Find the lowest common multiple of 20 and 24
Solution
To find the lowest common multiple (LCM) of 20 and 24, we can follow these steps:
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Prime factorization:
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LCM is found by taking the highest powers of all prime factors that appear in both factorizations:
- The highest power of 2 is .
- The highest power of 3 is .
- The highest power of 5 is .
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Multiply these together to get the LCM:
Therefore, the lowest common multiple of 20 and 24 is 120.
Would you like further details or have any questions?
Here are 5 related questions to deepen your understanding:
- What is the greatest common divisor (GCD) of 20 and 24?
- How do you find the LCM of three numbers?
- Can you find the LCM of 24 and another number like 36?
- What is the relationship between LCM and GCD for two numbers?
- How can the LCM be used to solve problems involving fractions?
Tip: To quickly estimate the LCM, use the formula:
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Math Problem Analysis
Mathematical Concepts
Number Theory
Prime Factorization
Least Common Multiple (LCM)
Formulas
LCM(a, b) = (a × b) / GCD(a, b)
Prime Factorization Method for LCM
Theorems
Fundamental Theorem of Arithmetic
LCM and GCD Relationship
Suitable Grade Level
Grades 6-8