Least Common Multiple (LCM) of 182 and 127
The least common multiple (LCM) of 182 and 127 is 23114.
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 182 and 127?
First, calculate the GCD of 182 and 127 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 182 ÷ 127 = 1 remainder 55 |
| 2 | 127 ÷ 55 = 2 remainder 17 |
| 3 | 55 ÷ 17 = 3 remainder 4 |
| 4 | 17 ÷ 4 = 4 remainder 1 |
| 5 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 188 and 51 | 9588 |
| 50 and 125 | 250 |
| 114 and 50 | 2850 |
| 74 and 52 | 1924 |
| 199 and 133 | 26467 |