Least Common Multiple (LCM) of 182 and 128
The least common multiple (LCM) of 182 and 128 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 182 and 128?
First, calculate the GCD of 182 and 128 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 182 ÷ 128 = 1 remainder 54 |
| 2 | 128 ÷ 54 = 2 remainder 20 |
| 3 | 54 ÷ 20 = 2 remainder 14 |
| 4 | 20 ÷ 14 = 1 remainder 6 |
| 5 | 14 ÷ 6 = 2 remainder 2 |
| 6 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 89 and 93 | 8277 |
| 126 and 87 | 3654 |
| 141 and 144 | 6768 |
| 46 and 74 | 1702 |
| 11 and 53 | 583 |