LCM of 5 and 8
2026-02-28 12:44 Diff
https://brightchamps.com/en-us/math/numbers/lcm-of-5-and-8

364 Learners

Last updated on August 5, 2025

LCM is a common multiple, the smallest value between the numbers 5 and 8. Did you know? We apply LCM unknowingly in everyday situations like setting alarms and to synchronize traffic lights and when making music.

What is the LCM of 5 and 8?

LCM of 5 and 8 Using Listing the Multiples

Step 1: Write down the multiples of the numbers. Don’t stop too early.


Multiples of 5 = 5,10,15,20,25,30,35,40,…

Multiples of 8 = 8, 16,24,32,40,…


Step 2: Find the smallest number common between the written multiples of 5 and 8


The smallest common multiple is 40


Thus, LCM(5,8) = 40

LCM of 5 and 8 Using Prime Factorization

Step 1:  factorize the numbers into its prime factors 


5 = 5×1


8 = 2×2×2


Step 2: find the highest powers of the factors of 5 and 8


Step 3: Multiply the highest powers 


LCM(5,8) = 40

Explore Our Programs

LCM of 5 and 8 Using Division Method

  • Write the numbers 5,8 in a row 
  • Divide them by their common prime factors, if there is one
  • Carry forward the numbers that are left undivided by the previously chosen factor
  • Continue dividing until the remainder is ‘1’ 
  • Multiply the divisors to find the LCM
  • LCM(5,8) = 40
     

Common Mistakes and how to avoid them while finding the LCM of 5 and 8

Listed here are a few mistakes that one can commit when trying to find the LCM of the numbers 5 and 8. Try to avoid them. 
 

Problem 1

One cookie jar is filled every 5 hours, and the candy jar is filled every 8 hours. If the jars started filling at the same time, how long will it take for the both of them to be filled?

Okay, lets begin

The LCM of 5 and 8 is 40.
 

Explanation

Both jars will be filled at the same time again in 40 hours, which is the LCM of the given numbers, expressing the smallest time interval. 
 

Well explained 👍

Problem 2

Find the LCM of 5² and 8².

Okay, lets begin

52=25


82=64


Now find the LCM of 25 and 64. The prime factorizations are:


25=52


64=22


The LCM is found by taking the highest powers of all prime factors:


LCM(25,64)=52×26=25×64=1600
 

Explanation

So, the LCM is 1600.
 

Well explained 👍

Problem 3

By what percentage must 5 be increased to reach the LCM of 5 and 8?

Okay, lets begin

The LCM of 5 and 8 is 40. Now, calculate the percentage increase from 5 to 40:


Percentage Increase=(540−5​)/5×100=35/5​×100=700%
 

Explanation

So, 5 must be increased by 700% to reach 40.

Well explained 👍

FAQ’s on LCM of 5 and 8

1.What is the LCM of 4,5 and 8?

LCM(4,5,8) = 40


40 is the smallest number that appears commonly on the lists of the numbers 4,5 and 8. 

2.What is the HCF of 5 and 8?

Factors of 5 = 1,5 


Factors of 8 = 1,2,4,8 


There are no common factors between 5 and 8, the HCF is 5 and 8 is 1. 
 

3.What are the factors of 8 and 5?

Factors of 8 = 1,2,4,8


Factors of 5 =1,5 


Numbers that are multiplied to reach 8 and 5 are called the factors of 8 and 5. 
 

4.What is the LCM of 12 and 15?

60 is the smallest number that appears commonly on the lists of the numbers 12 and 15.

 
LCM (12,15) = 60
 

5.What is the LCM of 16 and 20?

LCM (16,20) = 80


80 is the smallest number that appears commonly on the lists of the numbers 16 and 20. 

Important glossaries for LCM of 5 and 8

  • Multiple — product of a number and a natural integer 
  • Prime factor — number one gets after prime factorization any given number 
  • Prime factorization — the process of breaking the number into its prime factors. 

What Are Numbers? 🔢 | Fun Explanation with 🎯 Real-Life Examples for Kids | ✨BrightCHAMPS Math

▶

Hiralee Lalitkumar Makwana

About the Author

Hiralee Lalitkumar Makwana has almost two years of teaching experience. She is a number ninja as she loves numbers. Her interest in numbers can be seen in the way she cracks math puzzles and hidden patterns.

Fun Fact

: She loves to read number jokes and games.