Least Common Multiple (LCM) of 195 and 188
The least common multiple (LCM) of 195 and 188 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 195 and 188?
First, calculate the GCD of 195 and 188 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 195 ÷ 188 = 1 remainder 7 |
| 2 | 188 ÷ 7 = 26 remainder 6 |
| 3 | 7 ÷ 6 = 1 remainder 1 |
| 4 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 169 and 42 | 7098 |
| 40 and 140 | 280 |
| 110 and 85 | 1870 |
| 19 and 41 | 779 |
| 171 and 12 | 684 |