Least Common Multiple (LCM) of 127 and 179
The least common multiple (LCM) of 127 and 179 is 22733.
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 179?
First, calculate the GCD of 127 and 179 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 127 ÷ 179 = 0 remainder 127 |
| 2 | 179 ÷ 127 = 1 remainder 52 |
| 3 | 127 ÷ 52 = 2 remainder 23 |
| 4 | 52 ÷ 23 = 2 remainder 6 |
| 5 | 23 ÷ 6 = 3 remainder 5 |
| 6 | 6 ÷ 5 = 1 remainder 1 |
| 7 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 135 and 155 | 4185 |
| 116 and 195 | 22620 |
| 188 and 198 | 18612 |
| 46 and 71 | 3266 |
| 64 and 191 | 12224 |