Least Common Multiple (LCM) of 188 and 195
The least common multiple (LCM) of 188 and 195 is 36660.
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 195?
First, calculate the GCD of 188 and 195 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 188 ÷ 195 = 0 remainder 188 |
| 2 | 195 ÷ 188 = 1 remainder 7 |
| 3 | 188 ÷ 7 = 26 remainder 6 |
| 4 | 7 ÷ 6 = 1 remainder 1 |
| 5 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 20 and 105 | 420 |
| 95 and 187 | 17765 |
| 42 and 196 | 588 |
| 197 and 59 | 11623 |
| 124 and 52 | 1612 |