BrightChamps Logo
Hamburger Menu Icon for BrightChamps Website Navigation
Login
Creative Math Ideas Image
Live Math Learners Count Icon166 Learners

Last updated on May 26th, 2025

Math Whiteboard Illustration

LCM of 25 and 50

Professor Greenline Explaining Math Concepts

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 for UK Students
Professor Greenline from BrightChamps

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. 
 

Professor Greenline from BrightChamps

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


 

Professor Greenline from BrightChamps

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
 

Professor Greenline from BrightChamps

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
 

Max Pointing Out Common Math Mistakes

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:
 

Mistake 1

Red Cross Icon Indicating Mistakes to Avoid in This Math Topic

Error in listing multiples
 

Green Checkmark Icon Indicating Correct Solutions in This Math Topic

If the LCM of 25 and 50 is 50, double-check the multiples of both the numbers.


Multiples of 25 are 50, 75and so on.


Multiplies of 50 are 50, 100, 150 and so on.


If there’s any mistake listing the multiples, then the LCM will be incorrect.
 

Max from BrightChamps Saying "Hey"

LCM of 25 and 50 solved examples

Ray, the Character from BrightChamps Explaining Math Concepts
Max, the Girl Character from BrightChamps

Problem 1

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

Ray, the Boy Character from BrightChamps Saying "Let’s 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
 

Max from BrightChamps Praising Clear Math Explanations
Max, the Girl Character from BrightChamps

Problem 2

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

Ray, the Boy Character from BrightChamps Saying "Let’s 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
 

Max from BrightChamps Praising Clear Math Explanations
Max, the Girl Character from BrightChamps

Problem 3

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

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

Answer : 1250
 

 

Explanation

LCM(a,b)×HCF(a,b) =a×b 


LCM = 50


HCF = 25


50 × 25 = 50 × 25=1250

Max from BrightChamps Praising Clear Math Explanations
Ray Thinking Deeply About Math Problems

FAQs on Least Common Multiple of 25 and 50

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

Math FAQ Answers Dropdown Arrow

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

Math FAQ Answers Dropdown Arrow

3.What is the LCM formula using the HCF?

Math FAQ Answers Dropdown Arrow

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

Math FAQ Answers Dropdown Arrow

5.How can children in United Kingdom use numbers in everyday life to understand LCM of 25 and 50?

Math FAQ Answers Dropdown Arrow

6.What are some fun ways kids in United Kingdom can practice LCM of 25 and 50 with numbers?

Math FAQ Answers Dropdown Arrow

7.What role do numbers and LCM of 25 and 50 play in helping children in United Kingdom develop problem-solving skills?

Math FAQ Answers Dropdown Arrow

8.How can families in United Kingdom create number-rich environments to improve LCM of 25 and 50 skills?

Math FAQ Answers Dropdown Arrow
Professor Greenline from BrightChamps

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. 
Professor Greenline from BrightChamps

About BrightChamps in United Kingdom

At BrightChamps, we know numbers are far more than mere digits—they open doors to endless opportunities! We aim to support children all over the United Kingdom in mastering essential math skills, with today’s spotlight on the LCM of 25 and 50 and a special focus on understanding the LCM—in a lively, enjoyable, and easy-to-understand way. Whether your child is working out how fast a roller coaster travels at Alton Towers, tracking scores at a local football match, or budgeting pocket money for the latest gadgets, mastering numbers helps build their everyday confidence. Our interactive lessons make learning fun and straightforward. Since children in the UK learn in diverse ways, we adapt our teaching to suit each individual. From the bustling streets of London to the scenic coastlines of Cornwall, BrightChamps makes math relatable and exciting throughout the UK. Let’s bring the LCM to life for every child’s math journey!
Math Teacher Background Image
Math Teacher Image

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.

Math Teacher Fun Facts Image
Max, the Girl Character from BrightChamps

Fun Fact

: She loves to read number jokes and games.

INDONESIA - Axa Tower 45th floor, JL prof. Dr Satrio Kav. 18, Kel. Karet Kuningan, Kec. Setiabudi, Kota Adm. Jakarta Selatan, Prov. DKI Jakarta
INDIA - H.No. 8-2-699/1, SyNo. 346, Rd No. 12, Banjara Hills, Hyderabad, Telangana - 500034
SINGAPORE - 60 Paya Lebar Road #05-16, Paya Lebar Square, Singapore (409051)
USA - 251, Little Falls Drive, Wilmington, Delaware 19808
VIETNAM (Office 1) - Hung Vuong Building, 670 Ba Thang Hai, ward 14, district 10, Ho Chi Minh City
VIETNAM (Office 2) - 143 Nguyễn Thị Thập, Khu đô thị Him Lam, Quận 7, Thành phố Hồ Chí Minh 700000, Vietnam
Dubai - BrightChamps, 8W building 5th Floor, DAFZ, Dubai, United Arab Emirates
UK - Ground floor, Redwood House, Brotherswood Court, Almondsbury Business Park, Bristol, BS32 4QW, United Kingdom