Least Common Multiple (LCM) of 197 and 38
The least common multiple (LCM) of 197 and 38 is 7486.
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 38?
First, calculate the GCD of 197 and 38 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 197 ÷ 38 = 5 remainder 7 |
| 2 | 38 ÷ 7 = 5 remainder 3 |
| 3 | 7 ÷ 3 = 2 remainder 1 |
| 4 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 169 and 81 | 13689 |
| 64 and 177 | 11328 |
| 108 and 61 | 6588 |
| 123 and 193 | 23739 |
| 13 and 85 | 1105 |