Least Common Multiple (LCM) of 197 and 61
The least common multiple (LCM) of 197 and 61 is 12017.
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 61?
First, calculate the GCD of 197 and 61 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 197 ÷ 61 = 3 remainder 14 |
| 2 | 61 ÷ 14 = 4 remainder 5 |
| 3 | 14 ÷ 5 = 2 remainder 4 |
| 4 | 5 ÷ 4 = 1 remainder 1 |
| 5 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 16 and 138 | 1104 |
| 122 and 54 | 3294 |
| 26 and 46 | 598 |
| 158 and 184 | 14536 |
| 12 and 28 | 84 |