Least Common Multiple (LCM) of 231 and 2
The least common multiple (LCM) of 231 and 2 is 462.
What is the Least Common Multiple (LCM)?
The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.
Formula for LCM
The LCM of two numbers can be calculated using their GCD:
LCM(a, b) = |a × b| ÷ GCD(a, b)
How to Calculate the LCM of 231 and 2?
First, calculate the GCD of 231 and 2 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 231 ÷ 2 = 115 remainder 1 |
| 2 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 138 and 190 | 13110 |
| 52 and 49 | 2548 |
| 15 and 43 | 645 |
| 20 and 65 | 260 |
| 133 and 89 | 11837 |