Least Common Multiple (LCM) of 128 and 154
The least common multiple (LCM) of 128 and 154 is 9856.
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 154?
First, calculate the GCD of 128 and 154 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 128 ÷ 154 = 0 remainder 128 |
| 2 | 154 ÷ 128 = 1 remainder 26 |
| 3 | 128 ÷ 26 = 4 remainder 24 |
| 4 | 26 ÷ 24 = 1 remainder 2 |
| 5 | 24 ÷ 2 = 12 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 14 and 43 | 602 |
| 87 and 91 | 7917 |
| 33 and 123 | 1353 |
| 74 and 123 | 9102 |
| 14 and 173 | 2422 |