Least Common Multiple (LCM) of 128 and 144
The least common multiple (LCM) of 128 and 144 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 128 and 144?
First, calculate the GCD of 128 and 144 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 128 ÷ 144 = 0 remainder 128 |
| 2 | 144 ÷ 128 = 1 remainder 16 |
| 3 | 128 ÷ 16 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 193 and 72 | 13896 |
| 81 and 32 | 2592 |
| 170 and 66 | 5610 |
| 111 and 21 | 777 |
| 132 and 152 | 5016 |