Least Common Multiple (LCM) of 182 and 137
The least common multiple (LCM) of 182 and 137 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 182 and 137?
First, calculate the GCD of 182 and 137 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 182 ÷ 137 = 1 remainder 45 |
| 2 | 137 ÷ 45 = 3 remainder 2 |
| 3 | 45 ÷ 2 = 22 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 180 and 17 | 3060 |
| 176 and 190 | 16720 |
| 117 and 138 | 5382 |
| 118 and 61 | 7198 |
| 184 and 120 | 2760 |