Least Common Multiple (LCM) of 197 and 130
The least common multiple (LCM) of 197 and 130 is 25610.
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 130?
First, calculate the GCD of 197 and 130 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 197 ÷ 130 = 1 remainder 67 |
| 2 | 130 ÷ 67 = 1 remainder 63 |
| 3 | 67 ÷ 63 = 1 remainder 4 |
| 4 | 63 ÷ 4 = 15 remainder 3 |
| 5 | 4 ÷ 3 = 1 remainder 1 |
| 6 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 36 and 71 | 2556 |
| 172 and 182 | 15652 |
| 169 and 103 | 17407 |
| 132 and 54 | 1188 |
| 27 and 128 | 3456 |