Question 1

What is LCM (Least Common Multiple)?

Accepted Answer

The Least Common Multiple (LCM) is the smallest positive integer that is divisible by all given numbers without remainder. For example, LCM of 4 and 6 is 12 because 12 is the smallest number that both 4 and 6 divide into evenly (12÷4=3, 12÷6=2).

Question 2

How do you find the LCM of two numbers?

Accepted Answer

Method 1 (Prime Factorization): Break numbers into prime factors, take each factor at its highest power, multiply together. Method 2 (Listing Multiples): List multiples of each number, find the smallest common one. Method 3 (Formula): LCM(a,b) = (a × b) / GCF(a,b). Our calculator uses the most efficient method.

Question 3

What's the difference between LCM and GCF?

Accepted Answer

LCM (Least Common Multiple) is the smallest number divisible by all given numbers. GCF (Greatest Common Factor) is the largest number that divides all given numbers. Example: For 12 and 18, LCM = 36 (smallest common multiple), GCF = 6 (largest common factor). LCM is always ≥ the largest number; GCF is always ≤ the smallest number.

Question 4

When do you use LCM in real life?

Accepted Answer

LCM is used for: Adding/subtracting fractions (finding common denominator), scheduling events that repeat at different intervals, synchronizing cycles, determining when patterns align, solving time-based problems, and planning activities that occur periodically.

Question 5

How do you find LCM of 3 or more numbers?

Accepted Answer

For multiple numbers: Find LCM of first two numbers, then find LCM of that result with the third number, continue until all numbers are included. Example: LCM(4,6,8): First find LCM(4,6)=12, then LCM(12,8)=24. Final answer: 24. Our calculator handles any quantity of numbers.

Question 6

What is the LCM of 12 and 18?

Accepted Answer

The LCM of 12 and 18 is 36. Multiples of 12: 12, 24, 36, 48... Multiples of 18: 18, 36, 54... First common multiple is 36. You can verify: 36÷12=3 and 36÷18=2, both are whole numbers.

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