🔢 Math Calculator

📐 How It Works

Finds the smallest positive integer divisible by all given numbers. LCM is found via prime factorization — take the highest power of each prime factor.

🔢 Worked Examples

• LCM(4,6) = 12
• LCM(12,18) = 36
• LCM(5,7) = 35
• LCM(8,12,18) = 72
• LCM(3,4,5) = 60

📋 Common Use Cases

• Finding a common denominator for fractions
• Scheduling repeating events (when do two cycles align?)
• Gear synchronisation in engineering
• Music rhythm — when two patterns next coincide

💡 Did You Know?

The LCM of the first 10 integers (1–10) is 2,520. This is the smallest number divisible by every number from 1 to 10 — useful in proportion problems.

⚠️ Common Mistake

LCM is not always the product of two numbers — LCM(4,6) = 12, not 24. The product overcounts shared factors.