Least Common Multiple (LCM) of 137 and 182
The least common multiple (LCM) of 137 and 182 is 24934.
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 137 and 182?
First, calculate the GCD of 137 and 182 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 137 ÷ 182 = 0 remainder 137 |
| 2 | 182 ÷ 137 = 1 remainder 45 |
| 3 | 137 ÷ 45 = 3 remainder 2 |
| 4 | 45 ÷ 2 = 22 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 126 and 159 | 6678 |
| 164 and 10 | 820 |
| 85 and 125 | 2125 |
| 26 and 11 | 286 |
| 17 and 199 | 3383 |