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 |
|---|---|
| 195 and 112 | 21840 |
| 124 and 42 | 2604 |
| 89 and 155 | 13795 |
| 172 and 103 | 17716 |
| 163 and 121 | 19723 |