T105 · Everyday, Academic & Utility Calculators

LCM, GCD (HCF) & Prime Factorization Calculator

ल.स.प. (LCM), म.स.प. (HCF/GCD) और अभाज्य गुणनखंड कैलकुलेटर

Calculate Least Common Multiple (LCM / ल.स.प.), Greatest Common Divisor / Highest Common Factor (GCD / HCF / म.स.प.), and prime factorizations for 2 or more integers.

🔒 Browser-Local Only (Zero Server Upload)
Quick Examples:

Calculated Output & Breakdown

LCM (ल.स.प.) & HCF / GCD (म.स.प.)
LCM: 360 | HCF (GCD): 12
LCM (Least Common Multiple)
360
HCF / GCD (Highest Common Factor)
12
Numbers Analyzed
24, 36, 60
Product of Numbers
51,840
NumberPrime Factorization
242 × 2 × 2 × 3
362 × 2 × 3 × 3
602 × 2 × 3 × 5
HCF (GCD)12 (2 × 2 × 3)
LCM360
For any two numbers A and B: LCM(A, B) × HCF(A, B) = A × B.

About this tool

Calculate the least common multiple, greatest common divisor and factor information for the whole numbers entered. Use the breakdown to check a divisibility problem or compare a common-factor and common-multiple result.

Calculations and file processing run in this browser tab. The tool does not send working inputs or files to our hosting server.

हिंदी में जानकारी: ल.स.प. (LCM), म.स.प. (HCF/GCD) और अभाज्य गुणनखंड कैलकुलेटर

मुख्य इनपुट और नियंत्रण हिंदी में देखने के लिए ऊपर “🇮🇳 हिंदी में देखें” चुनें। गणना और फ़ाइल प्रोसेसिंग इसी ब्राउज़र टैब में होती है; टूल आपके इनपुट हमारी होस्टिंग पर नहीं भेजता।

Features

  • Work with Enter 2 or More Positive Whole Numbers (Comma separated).
  • Review LCM (Least Common Multiple); HCF / GCD (Highest Common Factor); Numbers Analyzed in the result breakdown.

Benefits

  • Check integer factor relationships quickly.
  • Compare the roles of LCM and GCD in one result.

Who should use this tool?

  • Students practising number theory.
  • People checking an integer-divisibility calculation.

How to use

  1. Complete the labelled fields for your scenario, including Enter 2 or More Positive Whole Numbers (Comma separated). Use the units shown beside each field.
  2. Try the example labelled “Numbers: 24, 36, 60 (HCF = 12, LCM = 360)” if you want to check the workflow first.
  3. Select Calculate / Run Tool and review LCM (ल.स.प.) & HCF / GCD (म.स.प.) and LCM (Least Common Multiple); HCF / GCD (Highest Common Factor).
  4. Check the assumptions and limitations below. Adjust a value to compare scenarios, then copy or download the result you need.

Try these worked examples

ScenarioExample inputsExample result
Numbers: 24, 36, 60 (HCF = 12, LCM = 360)Enter 2 or More Positive Whole Numbers (Comma separated): 24, 36, 60LCM: 360 | HCF (GCD): 12
Numbers: 18, 45 (HCF = 9, LCM = 90)Enter 2 or More Positive Whole Numbers (Comma separated): 18, 45LCM: 90 | HCF (GCD): 9

Reference and processing

Euclidean Algorithm for GCD & Prime Factorization Theorem · Listed applicability: 2025-2026

Calculations and file processing run in this browser tab. The tool does not send working inputs or files to our hosting server.

FAQs

Are LCM and GCD the same type of result?

GCD is a largest shared divisor, while LCM is a smallest positive common multiple. Use positive whole-number inputs within the supported range for this tool.

Which inputs do I need for LCM, GCD (HCF) & Prime Factorization Calculator?

Use Enter 2 or More Positive Whole Numbers (Comma separated). The built-in examples show how those fields fit together.

What should I check before using this result?

Accepts positive whole integers up to 10,000,000. Check the assumptions and output against your intended task before relying on the result.

What happens to the information I enter?

Calculations and file processing run in this browser tab. The tool does not send working inputs or files to our hosting server. Tool favourites save only tool IDs in this browser. Sharing sends the tool link, not your working values or files.

Share this tool

Send someone a shortcut to LCM, GCD (HCF) & Prime Factorization Calculator. Only the tool link is shared.

Useful next steps for this task.

An editorial selection for everyday tasks.

A useful link, ready to send

Share on social media

LCM, GCD (HCF) & Prime Factorization Calculator

Only this tool’s link is included. Your inputs and files stay out of the share.

You choose the recipient and confirm the post in the app you open.

Help make this tool better

Feedback about this tool

LCM, GCD (HCF) & Prime Factorization Calculator T105

Found a problem or have a suggestion? Open an email draft with this tool’s name and link. Add your feedback and choose Send in your email app.

To: ecomtoolkitindia@gmail.com. Tool inputs, files and browser details are not added automatically.