LCM of 25 and 50
2026-02-28 14:05 Diff
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Last updated on August 5, 2025

The LCM is the least common multiple, a multiple that is lower in value and common in two or more numbers. The LCM of numbers can be used in situations where we have to.

LCM of 25 and 50

The LCM of 25 and 50 is 50


The LCM of numbers can be found using methods like the Listing Method, the Prime Factorization Method, and the Long Division Method. 
 

LCM of 25 and 50 Using Listing the Multiples

The listing method finds the lowest multiple that is common to both 25 and 50 from the multiples of 25 and 50


The multiplies of 25 are 25, 50, 75 and so on


The multiples of 50 are 50, 100, 150 and so on.


The LCM of 25 and 50 is 50

LCM of 25 and 50 Using Prime Factorization

To find the LCM, prime factorize 25 and 50


The prime factors of 25 is 5 → 51


The prime factors of 50 is 2, 5 → 2 × 52


The LCM of 25 and 50 is 21 × 52 = 2 × 5 × 5 =  25
 

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The LCM of 25 and 50 using the Division Method

Write the numbers 25 and 50 in a row


Find the number that can divide both 25 and 50


Continue dividing the numbers until you get 1


To get the LCM, multiply the divisors.


LCM of 25 and 50 = 5 × 5 × 2 =  50
 

Common Mistakes and How to Avoid Them While finding the LCM of 25 and 50

Given below are the few mistakes that you can commit while trying to find the LCM of 25 and 50. Tips to avoid them are also given:
 

Problem 1

The HCF between 25 and 50 is 5. What will be the LCM of 25 and 50 when prime factorization is used?

Okay, lets begin

 The LCM of 25 and 50 using the prime factorization method is 50
 

Explanation

To find the LCM of 25 and 50 using the prime factorization, list down the prime factors of 25 and 50. From the prime factors of each number, take the prime factor with the highest power, that is 21  and 52. Now multiply these to get 60 as the LCM
 

Well explained 👍

Problem 2

The LCM of 25 and b is 50. What is the value of ‘b’?

Okay, lets begin

The value of ‘b’ is 50
 

Explanation

 We know that the LCM of (25,b) is 50


According to the LCM formula, LCM(a, b) = a × b/HCF(a, b)


50 = 25  × b/HCF(25,b)


B = 50 x HCF(25,b)/25


b=50
 

Well explained 👍

Problem 3

The LCM of a and b is 50 and their HCF is 5, what is the product of a and b?

Okay, lets begin

Answer : 1250
 

Explanation

LCM(a,b)×HCF(a,b) =a×b 


LCM = 50


HCF = 25


50 × 25 = 50 × 25=1250

Well explained 👍

FAQs on Least Common Multiple of 25 and 50

1.Is multiple of 25 and 50 always the LCM of 25 and 50?

 The LCM of 25 and 50 is 50. The multiple of 25 and 50 will always be their LCM. 

2.Why can’t we say that the LCM of 25 and 50 is not 25?

25 can’t be an LCM because 50 is not a multiple of 25. To find the LCM of 25 and 50 we need to list their multiplies and find the common multiple that is lower in value.
 

3.What is the LCM formula using the HCF?

The method below elaborates on how to derive the LCM using HCF (Highest common factor). An example is also attached to check the validity.  


LCM (a, b)= a×b/HCF(a, b)
 

4.Is the LCM of 25 and 50 always a multiple of 25?

Yes, the HCF of 25 and 50 is always a multiple of 25. A multiple is a number we get when the given number gets multiplied by another. In this case, when we multiply 25 by 2 we get 50
 

Important Glossaries for LCM of 25 and 50

  • Multiple: A number and any integer multiplied. 
  • Prime Factor: A natural number (except 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. 

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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.