Least Common Multiple (LCM) of 197 and 134
The least common multiple (LCM) of 197 and 134 is 26398.
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 134?
First, calculate the GCD of 197 and 134 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 197 ÷ 134 = 1 remainder 63 |
| 2 | 134 ÷ 63 = 2 remainder 8 |
| 3 | 63 ÷ 8 = 7 remainder 7 |
| 4 | 8 ÷ 7 = 1 remainder 1 |
| 5 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 18 and 113 | 2034 |
| 58 and 113 | 6554 |
| 154 and 39 | 6006 |
| 75 and 41 | 3075 |
| 23 and 116 | 2668 |