Least Common Multiple (LCM) of 136 and 128
The least common multiple (LCM) of 136 and 128 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 136 and 128?
First, calculate the GCD of 136 and 128 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 136 ÷ 128 = 1 remainder 8 |
| 2 | 128 ÷ 8 = 16 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 186 and 107 | 19902 |
| 13 and 118 | 1534 |
| 55 and 122 | 6710 |
| 50 and 140 | 700 |
| 125 and 200 | 1000 |