LCM Calculator

LCM Calculator is an online browser-based tool that helps users quickly find the Least Common Multiple (LCM) of a set of numbers. In this calculator, users input the numbers they want to find the LCM for, and the calculator provides the result, saving time and effort compared to manual calculations.

How to Use LCM Calculator?

To use the provided LCM Calculator you can use the following steps:

Step 1: Enter the Numbers sepearated by commas for which you want to find the LCM.

Step 2: Click “Calculate” button.

Step 3: LCM calculator will then display the calculated Least Common Multiple for the numbers you entered.

Step 4: If you want to find the LCM for another set of numbers, enter another pair of number and calculate.

What is LCM (Least Common Multiple)?

LCM (Least Common Multiple) is the smallest multiple that is evenly divisible by two or more integers.

In simple words, LCM represents a smallest common multiple of the given numbers or we can say the smallest number that all the given numbers can divide into without leaving a remainder.

Some examples of LCM are:

• LCM of 3 and 5 is 15.
• LCM of 8 and 12 is 24.
• LCM of 6, 8, and 10 is 120.

Learn, LCM

How to Calculate LCM?

To Calculate LCM we have many methods, some of the common methods are:

• Using Prime Factorization
• Using Multiples

Using Prime Factorization

• Find the prime factors of each number.
• Take the highest power of each prime factor that appears in any of the numbers.
• Multiply these highest powers together to get the LCM.

1. Prime factorize 12: 12 = 2² × 3
2. Prime factorize 18: 18 = 2 × 3²
3. Take the highest power of each prime factor: LCM = 2² × 3² = 4 × 9 = 36

Using Multiples

• List the multiples of each number until you find a common multiple.
• The smallest common multiple is the LCM.

• Multiples of 12: 12, 24, 36, 48, . . .
• Multiples of 18: 18, 36, 54, 72, . . .
• The smallest common multiple is 36.

Other than these there is one more common method i.e., LCM by Division Method.

LCM vs GCD

The key difference between both LCM and GCD are listed in the following table:

Property	LCM (Least Common Multiple)	GCD (Greatest Common Divisor)
Full Name	Least Common Multiple	Greatest Common Divisor
Abbreviation	LCM	GCD, GCF (Greatest Common Factor)
Definition	The smallest multiple that is divisible by all the given numbers.	The largest number that evenly divides all the given numbers.
Notation	LCM(a, b) or LCM of the set {a, b, …}	GCD(a, b) or GCD of the set {a, b, …}
Example	LCM(4, 6) = 12	GCD(4, 6) = 2
Relationship to Numbers	LCM(a, b) is always greater than or equal to both a and b.	GCD(a, b) is always less than or equal to both a and b.

Conclusion

In conclusion, the LCM Calculator is a powerful tool that simplifies the process of finding the Least Common Multiple of a set of numbers. This online tool provides a quick and accurate solution to a fundamental mathematical problem, saving time and effort for students, educators, and professionals alike.

LCM Calculator FAQs

Are LCM and GCD the Same?

No, LCM (Least Common Multiple) and GCD (Greatest Common Divisor) are not the same as LCM finds the common multiple, while GCD identifies the common divisor.

Can LCM be Greater than the Largest Numbers?

Yes, the LCM (Least Common Multiple) can be greater than the largest number in the given set of numbers.

What are the Different Methods to Find LCM?

To find the LCM (Least Common Multiple), you can use methods like prime factorization, listing multiples, division by GCD, the LCM formula, or comparing prime factorization with exponents.

What is the LCM of 3 and 5?

The LCM (Least Common Multiple) of 3 and 5 is 15.

What is the LCM of 12, 18, and 24?

The LCM of 12, 18, and 24 is 72.