Least Common Multiple (LCM) of 197 and 128
The least common multiple (LCM) of 197 and 128 is 25216.
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 128?
First, calculate the GCD of 197 and 128 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 197 ÷ 128 = 1 remainder 69 |
| 2 | 128 ÷ 69 = 1 remainder 59 |
| 3 | 69 ÷ 59 = 1 remainder 10 |
| 4 | 59 ÷ 10 = 5 remainder 9 |
| 5 | 10 ÷ 9 = 1 remainder 1 |
| 6 | 9 ÷ 1 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 196 and 85 | 16660 |
| 177 and 118 | 354 |
| 166 and 158 | 13114 |
| 177 and 198 | 11682 |
| 184 and 164 | 7544 |