Least Common Multiple (LCM) of 128 and 197
The least common multiple (LCM) of 128 and 197 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 128 and 197?
First, calculate the GCD of 128 and 197 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 128 ÷ 197 = 0 remainder 128 |
| 2 | 197 ÷ 128 = 1 remainder 69 |
| 3 | 128 ÷ 69 = 1 remainder 59 |
| 4 | 69 ÷ 59 = 1 remainder 10 |
| 5 | 59 ÷ 10 = 5 remainder 9 |
| 6 | 10 ÷ 9 = 1 remainder 1 |
| 7 | 9 ÷ 1 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 117 and 150 | 5850 |
| 135 and 47 | 6345 |
| 31 and 168 | 5208 |
| 197 and 112 | 22064 |
| 169 and 11 | 1859 |