Least Common Multiple (LCM) of 197 and 95
The least common multiple (LCM) of 197 and 95 is 18715.
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 95?
First, calculate the GCD of 197 and 95 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 197 ÷ 95 = 2 remainder 7 |
| 2 | 95 ÷ 7 = 13 remainder 4 |
| 3 | 7 ÷ 4 = 1 remainder 3 |
| 4 | 4 ÷ 3 = 1 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 171 and 121 | 20691 |
| 169 and 149 | 25181 |
| 41 and 42 | 1722 |
| 127 and 52 | 6604 |
| 74 and 114 | 4218 |