Least Common Multiple (LCM) of 178 and 127
The least common multiple (LCM) of 178 and 127 is 22606.
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 178 and 127?
First, calculate the GCD of 178 and 127 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 178 ÷ 127 = 1 remainder 51 |
| 2 | 127 ÷ 51 = 2 remainder 25 |
| 3 | 51 ÷ 25 = 2 remainder 1 |
| 4 | 25 ÷ 1 = 25 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 51 and 139 | 7089 |
| 22 and 44 | 44 |
| 168 and 167 | 28056 |
| 136 and 148 | 5032 |
| 107 and 115 | 12305 |