Least Common Multiple (LCM) of 188 and 125
The least common multiple (LCM) of 188 and 125 is 23500.
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 188 and 125?
First, calculate the GCD of 188 and 125 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 188 ÷ 125 = 1 remainder 63 |
| 2 | 125 ÷ 63 = 1 remainder 62 |
| 3 | 63 ÷ 62 = 1 remainder 1 |
| 4 | 62 ÷ 1 = 62 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 94 and 10 | 470 |
| 47 and 71 | 3337 |
| 168 and 93 | 5208 |
| 100 and 65 | 1300 |
| 126 and 67 | 8442 |