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:

  1. What is the LCM of 12 and 15?
  2. How do you calculate the greatest common divisor (GCD) of two numbers?
  3. What is the relationship between LCM and GCD?
  4. How can the prime factorization method be used to find the LCM?
  5. 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