Least Common Multiple (LCM) of 195 and 196
The least common multiple (LCM) of 195 and 196 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 195 and 196?
First, calculate the GCD of 195 and 196 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 195 ÷ 196 = 0 remainder 195 |
| 2 | 196 ÷ 195 = 1 remainder 1 |
| 3 | 195 ÷ 1 = 195 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 133 and 20 | 2660 |
| 38 and 80 | 1520 |
| 151 and 129 | 19479 |
| 124 and 185 | 22940 |
| 96 and 197 | 18912 |