Least Common Multiple (LCM) of 197 and 145
The least common multiple (LCM) of 197 and 145 is 28565.
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 145?
First, calculate the GCD of 197 and 145 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 197 ÷ 145 = 1 remainder 52 |
| 2 | 145 ÷ 52 = 2 remainder 41 |
| 3 | 52 ÷ 41 = 1 remainder 11 |
| 4 | 41 ÷ 11 = 3 remainder 8 |
| 5 | 11 ÷ 8 = 1 remainder 3 |
| 6 | 8 ÷ 3 = 2 remainder 2 |
| 7 | 3 ÷ 2 = 1 remainder 1 |
| 8 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 53 and 36 | 1908 |
| 20 and 130 | 260 |
| 98 and 148 | 7252 |
| 190 and 39 | 7410 |
| 107 and 127 | 13589 |