Least Common Multiple (LCM) of 128 and 183
The least common multiple (LCM) of 128 and 183 is 23424.
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 183?
First, calculate the GCD of 128 and 183 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 128 ÷ 183 = 0 remainder 128 |
| 2 | 183 ÷ 128 = 1 remainder 55 |
| 3 | 128 ÷ 55 = 2 remainder 18 |
| 4 | 55 ÷ 18 = 3 remainder 1 |
| 5 | 18 ÷ 1 = 18 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 116 and 74 | 4292 |
| 154 and 108 | 8316 |
| 61 and 105 | 6405 |
| 160 and 107 | 17120 |
| 162 and 99 | 1782 |