Math Problem Statement
what is the lowest common multiple (LCM) of 8 and 5?
Solution
The lowest common multiple (LCM) of two numbers is the smallest number that is a multiple of both.
To find the LCM of 8 and 5:
- The multiples of 8 are: 8, 16, 24, 32, 40, 48, ...
- The multiples of 5 are: 5, 10, 15, 20, 25, 30, 35, 40, ...
The smallest multiple they have in common is 40. Therefore, the LCM of 8 and 5 is 40.
Would you like a more detailed explanation or have any other questions?
Here are 5 related questions to explore:
- What is the LCM of 12 and 15?
- How do you calculate the greatest common divisor (GCD) of two numbers?
- What is the relationship between LCM and GCD?
- How can the prime factorization method be used to find the LCM?
- What is the LCM of 8, 5, and 10?
Tip: When two numbers are relatively prime (no common factors other than 1), their LCM is simply their product.
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Math Problem Analysis
Mathematical Concepts
Number Theory
Multiples
Least Common Multiple (LCM)
Formulas
LCM(a, b) = Smallest common multiple of a and b
Theorems
LCM of two numbers is the smallest number that both divide without a remainder
Suitable Grade Level
Grades 5-7