Least Common Multiple (LCM) of 128 and 137
The least common multiple (LCM) of 128 and 137 is 17536.
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 137?
First, calculate the GCD of 128 and 137 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 128 ÷ 137 = 0 remainder 128 |
| 2 | 137 ÷ 128 = 1 remainder 9 |
| 3 | 128 ÷ 9 = 14 remainder 2 |
| 4 | 9 ÷ 2 = 4 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 75 and 192 | 4800 |
| 178 and 53 | 9434 |
| 177 and 94 | 16638 |
| 103 and 146 | 15038 |
| 189 and 199 | 37611 |