Least Common Multiple (LCM) of 197 and 195
The least common multiple (LCM) of 197 and 195 is 38415.
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 197 and 195?
First, calculate the GCD of 197 and 195 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 197 ÷ 195 = 1 remainder 2 |
| 2 | 195 ÷ 2 = 97 remainder 1 |
| 3 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 101 and 171 | 17271 |
| 170 and 67 | 11390 |
| 100 and 27 | 2700 |
| 155 and 99 | 15345 |
| 137 and 128 | 17536 |