Least Common Multiple (LCM) of 146 and 127
The least common multiple (LCM) of 146 and 127 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 146 and 127?
First, calculate the GCD of 146 and 127 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 146 ÷ 127 = 1 remainder 19 |
| 2 | 127 ÷ 19 = 6 remainder 13 |
| 3 | 19 ÷ 13 = 1 remainder 6 |
| 4 | 13 ÷ 6 = 2 remainder 1 |
| 5 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 126 and 47 | 5922 |
| 114 and 142 | 8094 |
| 30 and 152 | 2280 |
| 41 and 106 | 4346 |
| 131 and 178 | 23318 |