Least Common Multiple (LCM) of 422 and 126
The least common multiple (LCM) of 422 and 126 is 26586.
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 422 and 126?
First, calculate the GCD of 422 and 126 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 422 ÷ 126 = 3 remainder 44 |
| 2 | 126 ÷ 44 = 2 remainder 38 |
| 3 | 44 ÷ 38 = 1 remainder 6 |
| 4 | 38 ÷ 6 = 6 remainder 2 |
| 5 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 78 and 103 | 8034 |
| 105 and 45 | 315 |
| 167 and 166 | 27722 |
| 59 and 122 | 7198 |
| 34 and 173 | 5882 |