Least Common Multiple (LCM) of 183 and 128
The least common multiple (LCM) of 183 and 128 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 183 and 128?
First, calculate the GCD of 183 and 128 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 183 ÷ 128 = 1 remainder 55 |
| 2 | 128 ÷ 55 = 2 remainder 18 |
| 3 | 55 ÷ 18 = 3 remainder 1 |
| 4 | 18 ÷ 1 = 18 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 125 and 120 | 3000 |
| 85 and 106 | 9010 |
| 112 and 78 | 4368 |
| 85 and 48 | 4080 |
| 107 and 49 | 5243 |