Least Common Multiple (LCM) of 128 and 136
The least common multiple (LCM) of 128 and 136 is 2176.
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 136?
First, calculate the GCD of 128 and 136 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 128 ÷ 136 = 0 remainder 128 |
| 2 | 136 ÷ 128 = 1 remainder 8 |
| 3 | 128 ÷ 8 = 16 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 112 and 154 | 1232 |
| 51 and 149 | 7599 |
| 136 and 18 | 1224 |
| 40 and 110 | 440 |
| 21 and 199 | 4179 |