Least Common Multiple (LCM) of 128 and 22
The least common multiple (LCM) of 128 and 22 is 1408.
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 22?
First, calculate the GCD of 128 and 22 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 128 ÷ 22 = 5 remainder 18 |
| 2 | 22 ÷ 18 = 1 remainder 4 |
| 3 | 18 ÷ 4 = 4 remainder 2 |
| 4 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 17 and 54 | 918 |
| 57 and 198 | 3762 |
| 129 and 159 | 6837 |
| 156 and 54 | 1404 |
| 123 and 106 | 13038 |