Least Common Multiple (LCM) of 128 and 48
The least common multiple (LCM) of 128 and 48 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 48?
First, calculate the GCD of 128 and 48 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 128 ÷ 48 = 2 remainder 32 |
| 2 | 48 ÷ 32 = 1 remainder 16 |
| 3 | 32 ÷ 16 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 126 and 147 | 882 |
| 162 and 31 | 5022 |
| 188 and 78 | 7332 |
| 180 and 160 | 1440 |
| 56 and 50 | 1400 |