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 |
|---|---|
| 160 and 170 | 2720 |
| 106 and 51 | 5406 |
| 57 and 156 | 2964 |
| 61 and 107 | 6527 |
| 35 and 156 | 5460 |