LCM of 4 and 8
2026-02-28 11:33 Diff
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Last updated on August 5, 2025

LCM is applied in everyday situations like setting alarms, synchronizing traffic lights and making music. In this article we will learn about the LCM of 4 and 8.

What is the LCM of 4 and 8?

The LCM of 4 and 8 is 8. Let's find out how we calculate LCM. 
 

How to find the LCM of 4 and 8 ?

There are various methods to find the LCM, Listing method, prime factorization method and division method are explained below; 
 

LCM of 4 and 8 using the Listing Multiples method

The LCM of 4 and 8 can be found using the following steps;


Step 1: Record multiples of each number:  


Multiples of 4 = 4,8,12,16,20,24,28…


Multiples of 8 = 8,16,24,32,…


Step 2:  Choose the smallest multiple from the listed multiples of 4 and 8. 


The LCM of 4 and 8 is 8, i.e.,8 is divisible by 4 and 8 leaving no reminders. 
 

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LCM of 4 and 8 using the Prime Factorization

The prime factors of each number are written, and then the highest power of the prime factors is multiplied to get the LCM.


Step 1:  List the prime factors of the numbers:


Prime factorization of 4 = 2×2


Prime factorization of 8  = 2×2×2


Step 2: Multiply highest power of each prime factor:


— 2,2,2


Step 3: Multiply the factors to get the LCM: 


LCM (4,12) = 2×2×2 = 8
  

LCM of 4 and 8 using the Division method

The Division Method involves simultaneously dividing the numbers by their prime factors and multiplying the divisors to get the LCM. 

Step 1: Write down the numbers in a row;


 

Step 2: Divide the row of numbers by a prime number that is evenly divisible into at least one of the given numbers. Continue dividing the numbers until the last row of the results is ‘1’ and bring down the numbers has not been divisible previously.
 

Step 3: The LCM of the numbers is the product of the prime numbers in the first column, i.e, 


2×2×2= 8


LCM (4,8) = 8

Common Mistakes and how to avoid them while finding the LCM of 4 and 8

Listed below are a few commonly made mistakes while attempting to ascertain the LCM of 4 and 8, make a note while practicing.
 

Problem 1

a=4,b=8, verify the relationship between the HCF and LCM of the numbers.

Okay, lets begin

We can verify the relationship using LCM (a,b)×HCF(a,b) = a×b


LCM (4,8) = 8


HCF (4,7) = 4


8×4 = 4×8


32=32
 

Explanation

Both sides are equal, the formula holds good. The above is how we verify the validity of the LCM and HCF obtained. 
 

Well explained 👍

Problem 2

If the HCF of 4 and 8 is 4, using the relationship between 4 and 8, find the LCM. Solution:

Okay, lets begin

Given values; 


HCF = 4


a = 4


b = 8


Using the formula; 


LCM (a,b)=a×b/HCF(a, b)


LCM (4,8)= 4×8/4 = 8
 

Explanation

The relationship between HCF and LCM, as explained above allows us to find the LCM without direct calculation. 
 

Well explained 👍

Problem 3

Runner A can complete a lap in 4 minutes, and Runner B can complete a lap in 8 minutes. When will runners A and B meet at again?

Okay, lets begin

 LCM of 4 and 8 is 8. 
 

Explanation

Runners A and B will meet again after 8 minutes, which is the LCM of 4 and 8.

Well explained 👍

FAQs on LCM of 4 and 8

1.What is the LCM of 4 and 18?

Follow the below steps to ascertain the LCM of 4 and 18:


Write down the numbers in a row;
 

Divide the row of numbers by a prime number that is evenly divisible into at least one of the given numbers. Continue dividing the numbers until the last row of the results is ‘1’ and bring down the numbers has not been divisible previously.
 

The LCM of the numbers is the product of the prime numbers in the first column, i.e, 


2×2×3×3= 36


LCM (4,8) = 36
 

2.What are the factors of 4 and 8?

Factors of 4–1,2,4 


Factors of 8–1,2,4,8


The common factors between the digits are 2,4, hence, LCM = 8, HCF = 4. 
 

3.What is the HCF of 4 and 8?

HCF of 4 and 8 can be found by following the below steps; 


List down the prime factors of the numbers


Prime factors of 4 = 2×2


Prime factors of 8 = 2×2×2


Find the common prime factors —> 2,2 


HCF of 4 and 8 = 4, the HCF of the given numbers is 4. 
 

4.What is the LCM is 4,6 and 8?

Find the prime factors of the numbers:


Prime factorization of 4 = 2×2


Prime factorization of 6 = 2×3


Prime factorization of 8  = 2×2×2


2. Take the highest power of each prime factor:


— 2,2,3,2 


3. Multiply the ascertained factors to get the LCM: 


LCM (4,6,8) = 2×2×2×3 = 24
  

5.What is the LCM of 4,8 and 12?

Write down the multiples of each number:  


Multiples of 4 = 4,8,12,16,20,24,28…


Multiples of 8 = 8,16,24,32,…


Multiples of 12 =12,24,36,…


 2. Ascertain the smallest multiple from the listed multiples of 4,8 and 12. 


The LCM (Least common multiple) 4,8 and 12 is 24, i.e.,24 is divisible by 4,8 and 12 leaving no reminders. 
 

Important glossaries for LCM of 4 and 8

  • Multiple: A number and any integer multiplied. 
  • Prime Factor: A natural number (other than 1) that has factors that are one and itself.
  • Prime Factorization: The process of breaking down a number into its prime factors is called Prime Factorization. 
  • Co-prime numbers: When the only positive integer that is a divisor of them both is 1, a number is co-prime. 
  • Relatively Prime Numbers:  Numbers that have no common factors other than 1.
  • Fraction: A representation of a part of a whole.

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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.