Least Common Multiple (LCM) of 126 and 181
The least common multiple (LCM) of 126 and 181 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 126 and 181?
First, calculate the GCD of 126 and 181 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 126 ÷ 181 = 0 remainder 126 |
| 2 | 181 ÷ 126 = 1 remainder 55 |
| 3 | 126 ÷ 55 = 2 remainder 16 |
| 4 | 55 ÷ 16 = 3 remainder 7 |
| 5 | 16 ÷ 7 = 2 remainder 2 |
| 6 | 7 ÷ 2 = 3 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 70 and 38 | 1330 |
| 186 and 199 | 37014 |
| 67 and 106 | 7102 |
| 110 and 88 | 440 |
| 183 and 164 | 30012 |