Least Common Multiple (LCM) of 182 and 125
The least common multiple (LCM) of 182 and 125 is 22750.
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 125?
First, calculate the GCD of 182 and 125 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 182 ÷ 125 = 1 remainder 57 |
| 2 | 125 ÷ 57 = 2 remainder 11 |
| 3 | 57 ÷ 11 = 5 remainder 2 |
| 4 | 11 ÷ 2 = 5 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 27 and 14 | 378 |
| 120 and 173 | 20760 |
| 50 and 67 | 3350 |
| 184 and 59 | 10856 |
| 193 and 163 | 31459 |