Least Common Multiple (LCM) of 127 and 182
The least common multiple (LCM) of 127 and 182 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 127 and 182?
First, calculate the GCD of 127 and 182 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 127 ÷ 182 = 0 remainder 127 |
| 2 | 182 ÷ 127 = 1 remainder 55 |
| 3 | 127 ÷ 55 = 2 remainder 17 |
| 4 | 55 ÷ 17 = 3 remainder 4 |
| 5 | 17 ÷ 4 = 4 remainder 1 |
| 6 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 109 and 165 | 17985 |
| 120 and 198 | 3960 |
| 189 and 121 | 22869 |
| 124 and 79 | 9796 |
| 82 and 154 | 6314 |