Least Common Multiple (LCM) of 144 and 128
The least common multiple (LCM) of 144 and 128 is 1152.
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 144 and 128?
First, calculate the GCD of 144 and 128 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 144 ÷ 128 = 1 remainder 16 |
| 2 | 128 ÷ 16 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 172 and 180 | 7740 |
| 14 and 50 | 350 |
| 100 and 59 | 5900 |
| 46 and 142 | 3266 |
| 179 and 105 | 18795 |