Least Common Multiple (LCM) of 196 and 195
The least common multiple (LCM) of 196 and 195 is 38220.
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 196 and 195?
First, calculate the GCD of 196 and 195 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 196 ÷ 195 = 1 remainder 1 |
| 2 | 195 ÷ 1 = 195 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 11 and 40 | 440 |
| 141 and 64 | 9024 |
| 155 and 156 | 24180 |
| 97 and 96 | 9312 |
| 97 and 90 | 8730 |