LCM of 2 and 4
2026-02-28 08:28 Diff
https://brightchamps.com/en-us/math/numbers/lcm-of-2-and-4

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Last updated on August 5, 2025

LCM is a common multiple, the smallest value between the numbers 2 and 4. Did you know? We apply LCM unknowingly in everyday situations like setting alarms and to synchronize traffic lights and when making music.

LCM of 2 and 4 Using Listing the Multiples

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


  Multiples of 2 = 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, …


  Multiples of 4 = 4,8,12,16,20,…


 Step 2: Find the smallest number common between the written multiples of 2 and 4 


      — The smallest common multiple is 4


Thus, LCM(2,4) = 4

LCM of 2 and 4 Using Prime Factorization

Step 1: — factorize the numbers into its prime factors

 
 2 = 2


 4 = 2×2


Step 2: — find the highest powers of the factors of 2 and 4


Step 3 : — Multiply the highest powers 


LCM(2,4) = 4

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LCM of 2 and 4 Using Division Method

  • Write the numbers 2,4 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(2,4) = 4
     

Common Mistakes and how to avoid them while finding the LCM of 2 and 4

Listed here are a few mistakes that one can commit when trying to find the LCM of the numbers 2 and 4. Try to avoid them. 
 

Problem 1

A takes a water break every 2 hours, and B does so every 4 hours. If they take a break together at noon, when will they take their next break?

Okay, lets begin

The LCM of 2 and 4 is 8. 
 

Explanation

 Both A and B will take a water break together in 8 hours. The LCM of 2 and 4 is 8, which is the smallest common time interval for the given digits. 
 

Well explained 👍

Problem 2

Verify that the LCM of 2 and 4 is the product of the highest powers of all primes involved in their factorizations.

Okay, lets begin

The prime factorization of 2 is 2, and of 4 is 22


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


LCM(2,4)=22=4
 

Explanation

The result matches the known LCM.
 

Well explained 👍

Problem 3

If the LCM of 2 and 4 is multiplied by 150%, what is the result?

Okay, lets begin

The LCM of 2 and 4 is 4.


Multiplying by 150%:


4×150/100=4×1.5=64 
 

Explanation

The result is 6.
 

Well explained 👍

FAQs on LCM of 2 and 4

1.What is the LCM of 2,4 and 8?

LCM (2,4,8) = 8 


8 is the smallest number that appears commonly on the lists of the numbers 2,4 and 8.
 

2.What is the HCF of 2 and 4 ?

HCF of 2 and 4 can be found by listing the factors of the numbers → finding the largest common factor from the list of numbers. 


Factors of 2: 1,2


Factors of 4: 1,2,4


HCF of 2,4 = 2 

3.What is the LCM of 3 and 4?

LCM (3,4) = 12 


12 is the smallest number that appears commonly on the lists of the numbers 3 and 4.
 

4.What is the LCM of 7 and 5?

35 is the smallest number that appears commonly on the lists of the numbers 7 and 5.


LCM (5,7) =35 
 

5.What is the LCM of 7 and 8?

LCM (7,8)= 56 


56 is the smallest number that appears commonly on the lists of the numbers 7 and 8. 
 

Important glossaries for the LCM of 2 and 4

  • 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. 

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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.