Least Common Multiple (LCM) of 95 and 197
The least common multiple (LCM) of 95 and 197 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 95 and 197?
First, calculate the GCD of 95 and 197 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 95 ÷ 197 = 0 remainder 95 |
| 2 | 197 ÷ 95 = 2 remainder 7 |
| 3 | 95 ÷ 7 = 13 remainder 4 |
| 4 | 7 ÷ 4 = 1 remainder 3 |
| 5 | 4 ÷ 3 = 1 remainder 1 |
| 6 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 124 and 39 | 4836 |
| 134 and 70 | 4690 |
| 99 and 65 | 6435 |
| 116 and 81 | 9396 |
| 31 and 104 | 3224 |