Least Common Multiple (LCM) of 127 and 146
The least common multiple (LCM) of 127 and 146 is 18542.
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 127 and 146?
First, calculate the GCD of 127 and 146 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 127 ÷ 146 = 0 remainder 127 |
| 2 | 146 ÷ 127 = 1 remainder 19 |
| 3 | 127 ÷ 19 = 6 remainder 13 |
| 4 | 19 ÷ 13 = 1 remainder 6 |
| 5 | 13 ÷ 6 = 2 remainder 1 |
| 6 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 176 and 26 | 2288 |
| 188 and 191 | 35908 |
| 175 and 198 | 34650 |
| 71 and 111 | 7881 |
| 24 and 192 | 192 |