1. What is LCM?

The Least Common Multiple (LCM) of two integers is the smallest positive integer that is divisible by both numbers. It's a fundamental concept in number theory and arithmetic.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( a \) — First integer
• \( b \) — Second integer
• GCD — Greatest Common Divisor

Explanation: The LCM is calculated by first finding the GCD using the Euclidean algorithm, then applying the formula above.

3. Importance of LCM

Details: LCM is used in solving problems involving fractions, finding common denominators, scheduling repeating events, and in cryptography algorithms.

4. Using the Calculator

Tips: Enter two positive integers. The calculator will compute their LCM. Both numbers must be greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between LCM and GCD?
A: LCM finds the smallest common multiple, while GCD finds the largest common divisor of two numbers.

Q2: Can LCM be calculated for more than two numbers?
A: Yes, by iteratively applying LCM(a, LCM(b, c)) etc.

Q3: What's the LCM of prime numbers?
A: The LCM of two distinct primes is their product.

Q4: Is there a maximum number size for this calculator?
A: It's limited by PHP's integer size (typically 2^31-1 or 2^63-1).

Q5: How is LCM used in real life?
A: Common applications include scheduling (finding when events coincide), music theory (rhythm alignment), and electronics (signal timing).