Least Common Multiple (LCM) of 125 and 182
The least common multiple (LCM) of 125 and 182 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 125 and 182?
First, calculate the GCD of 125 and 182 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 125 ÷ 182 = 0 remainder 125 |
| 2 | 182 ÷ 125 = 1 remainder 57 |
| 3 | 125 ÷ 57 = 2 remainder 11 |
| 4 | 57 ÷ 11 = 5 remainder 2 |
| 5 | 11 ÷ 2 = 5 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 61 and 35 | 2135 |
| 167 and 200 | 33400 |
| 200 and 106 | 10600 |
| 25 and 91 | 2275 |
| 198 and 123 | 8118 |