Least Common Multiple (LCM) of 177 and 127
The least common multiple (LCM) of 177 and 127 is 22479.
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 177 and 127?
First, calculate the GCD of 177 and 127 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 177 ÷ 127 = 1 remainder 50 |
| 2 | 127 ÷ 50 = 2 remainder 27 |
| 3 | 50 ÷ 27 = 1 remainder 23 |
| 4 | 27 ÷ 23 = 1 remainder 4 |
| 5 | 23 ÷ 4 = 5 remainder 3 |
| 6 | 4 ÷ 3 = 1 remainder 1 |
| 7 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 65 and 149 | 9685 |
| 119 and 126 | 2142 |
| 71 and 46 | 3266 |
| 135 and 110 | 2970 |
| 136 and 105 | 14280 |