Least Common Multiple (LCM) of 122 and 127
The least common multiple (LCM) of 122 and 127 is 15494.
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 127?
First, calculate the GCD of 122 and 127 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 122 ÷ 127 = 0 remainder 122 |
| 2 | 127 ÷ 122 = 1 remainder 5 |
| 3 | 122 ÷ 5 = 24 remainder 2 |
| 4 | 5 ÷ 2 = 2 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 114 and 43 | 4902 |
| 180 and 135 | 540 |
| 103 and 105 | 10815 |
| 59 and 145 | 8555 |
| 82 and 49 | 4018 |