Least Common Multiple (LCM) of 125 and 162
The least common multiple (LCM) of 125 and 162 is 20250.
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 162?
First, calculate the GCD of 125 and 162 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 125 ÷ 162 = 0 remainder 125 |
| 2 | 162 ÷ 125 = 1 remainder 37 |
| 3 | 125 ÷ 37 = 3 remainder 14 |
| 4 | 37 ÷ 14 = 2 remainder 9 |
| 5 | 14 ÷ 9 = 1 remainder 5 |
| 6 | 9 ÷ 5 = 1 remainder 4 |
| 7 | 5 ÷ 4 = 1 remainder 1 |
| 8 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 191 and 18 | 3438 |
| 184 and 109 | 20056 |
| 48 and 188 | 2256 |
| 160 and 176 | 1760 |
| 177 and 76 | 13452 |