Least Common Multiple (LCM) of 181 and 126
The least common multiple (LCM) of 181 and 126 is 22806.
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 181 and 126?
First, calculate the GCD of 181 and 126 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 181 ÷ 126 = 1 remainder 55 |
| 2 | 126 ÷ 55 = 2 remainder 16 |
| 3 | 55 ÷ 16 = 3 remainder 7 |
| 4 | 16 ÷ 7 = 2 remainder 2 |
| 5 | 7 ÷ 2 = 3 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 84 and 108 | 756 |
| 126 and 110 | 6930 |
| 109 and 66 | 7194 |
| 181 and 191 | 34571 |
| 66 and 138 | 1518 |