Least Common Multiple (LCM) of 128 and 12
The least common multiple (LCM) of 128 and 12 is 384.
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 12?
First, calculate the GCD of 128 and 12 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 128 ÷ 12 = 10 remainder 8 |
| 2 | 12 ÷ 8 = 1 remainder 4 |
| 3 | 8 ÷ 4 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 46 and 145 | 6670 |
| 174 and 103 | 17922 |
| 75 and 163 | 12225 |
| 53 and 68 | 3604 |
| 13 and 22 | 286 |