What is the least common multiple of 5 and 11?
Understand the Problem
The question is asking for the least common multiple (LCM) of the numbers 5 and 11. To find the LCM, we look for the smallest number that is a multiple of both 5 and 11. Since they are both prime numbers, the LCM can be found by multiplying them together.
Answer
The least common multiple (LCM) of 5 and 11 is $55$.
Answer for screen readers
The least common multiple (LCM) of 5 and 11 is 55.
Steps to Solve
-
Identify the Numbers The numbers we are working with are 5 and 11.
-
Understand that They are Prime Both numbers are prime, which means they only have two positive divisors: 1 and themselves.
-
Calculate the LCM Since both numbers are prime, the LCM can be found by multiplying the numbers together. Therefore, $$ \text{LCM}(5, 11) = 5 \times 11 $$
-
Perform the Multiplication Now, we will perform the calculation: $$ 5 \times 11 = 55 $$
The least common multiple (LCM) of 5 and 11 is 55.
More Information
The least common multiple is the smallest number that both numbers can divide without leaving a remainder. Since 5 and 11 are prime, their LCM is simply their product.
Tips
- Forgetting that both numbers are prime may lead someone to use different methods to find the LCM.
- Incorrectly factoring the numbers in cases where they are not prime could lead to an inaccurate LCM.
AI-generated content may contain errors. Please verify critical information
