Least Common Multiple (LCM) of 122 and 126
The least common multiple (LCM) of 122 and 126 is 7686.
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 122 and 126?
First, calculate the GCD of 122 and 126 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 122 ÷ 126 = 0 remainder 122 |
| 2 | 126 ÷ 122 = 1 remainder 4 |
| 3 | 122 ÷ 4 = 30 remainder 2 |
| 4 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 126 and 32 | 2016 |
| 17 and 16 | 272 |
| 123 and 42 | 1722 |
| 196 and 58 | 5684 |
| 14 and 187 | 2618 |