Least Common Multiple (LCM) of 197 and 115
The least common multiple (LCM) of 197 and 115 is 22655.
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 115?
First, calculate the GCD of 197 and 115 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 197 ÷ 115 = 1 remainder 82 |
| 2 | 115 ÷ 82 = 1 remainder 33 |
| 3 | 82 ÷ 33 = 2 remainder 16 |
| 4 | 33 ÷ 16 = 2 remainder 1 |
| 5 | 16 ÷ 1 = 16 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 153 and 102 | 306 |
| 90 and 141 | 4230 |
| 74 and 134 | 4958 |
| 51 and 174 | 2958 |
| 79 and 116 | 9164 |