Least Common Multiple (LCM) of 145 and 128
The least common multiple (LCM) of 145 and 128 is 18560.
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 145 and 128?
First, calculate the GCD of 145 and 128 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 145 ÷ 128 = 1 remainder 17 |
| 2 | 128 ÷ 17 = 7 remainder 9 |
| 3 | 17 ÷ 9 = 1 remainder 8 |
| 4 | 9 ÷ 8 = 1 remainder 1 |
| 5 | 8 ÷ 1 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 105 and 68 | 7140 |
| 198 and 81 | 1782 |
| 37 and 17 | 629 |
| 139 and 100 | 13900 |
| 152 and 11 | 1672 |