Least Common Multiple (LCM) of 128 and 182
The least common multiple (LCM) of 128 and 182 is 11648.
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 182?
First, calculate the GCD of 128 and 182 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 128 ÷ 182 = 0 remainder 128 |
| 2 | 182 ÷ 128 = 1 remainder 54 |
| 3 | 128 ÷ 54 = 2 remainder 20 |
| 4 | 54 ÷ 20 = 2 remainder 14 |
| 5 | 20 ÷ 14 = 1 remainder 6 |
| 6 | 14 ÷ 6 = 2 remainder 2 |
| 7 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 109 and 105 | 11445 |
| 184 and 16 | 368 |
| 54 and 164 | 4428 |
| 140 and 97 | 13580 |
| 42 and 159 | 2226 |