Least Common Multiple (LCM) of 195 and 197
The least common multiple (LCM) of 195 and 197 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 195 and 197?
First, calculate the GCD of 195 and 197 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 195 ÷ 197 = 0 remainder 195 |
| 2 | 197 ÷ 195 = 1 remainder 2 |
| 3 | 195 ÷ 2 = 97 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 153 and 137 | 20961 |
| 31 and 72 | 2232 |
| 199 and 136 | 27064 |
| 159 and 12 | 636 |
| 98 and 67 | 6566 |