Number Theory
Least Common Multiple - Number Theory
Learn the least common multiple with examples, step-by-step guide, and calculator tools. Smallest multiple of both numbers
The least common multiple is a fundamental concept in number theory. Smallest multiple of both numbers. This page provides a comprehensive guide with worked examples and practical applications.
The Formula
\[\text{lcm}(a,b) = \frac{|a \times b|}{\gcd(a,b)}\]
Variables
lcm(a,b)
Least common multiple
gcd(a,b)
Greatest common divisor
Step-by-Step Guide
- 1
Step 1: Gather your data values
- 2
Step 2: Apply the formula
- 3
Step 3: Perform the calculations
- 4
Step 4: Interpret the result
Examples
Example 1
Example 1: [] → lcm(12, 18) = (12×18)/6 = 36
Example 2
Example 2: 36
Frequently Asked Questions
What is the least common multiple?
Smallest multiple of both numbers
How do I calculate least common multiple?
Use the formula: \text{lcm}(a,b) = \frac{|a \times b|}{\gcd(a,b)}. Follow the steps provided above.
What tools can help with least common multiple?
We provide online calculators: calculator