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 |
|---|---|
| 104 and 162 | 8424 |
| 181 and 91 | 16471 |
| 95 and 146 | 13870 |
| 65 and 175 | 2275 |
| 110 and 89 | 9790 |