Least Common Multiple (LCM) of 197 and 171
The least common multiple (LCM) of 197 and 171 is 33687.
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 171?
First, calculate the GCD of 197 and 171 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 197 ÷ 171 = 1 remainder 26 |
| 2 | 171 ÷ 26 = 6 remainder 15 |
| 3 | 26 ÷ 15 = 1 remainder 11 |
| 4 | 15 ÷ 11 = 1 remainder 4 |
| 5 | 11 ÷ 4 = 2 remainder 3 |
| 6 | 4 ÷ 3 = 1 remainder 1 |
| 7 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 78 and 14 | 546 |
| 34 and 155 | 5270 |
| 179 and 140 | 25060 |
| 138 and 194 | 13386 |
| 144 and 53 | 7632 |