Least Common Multiple (LCM) of 192 and 128
The least common multiple (LCM) of 192 and 128 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 192 and 128?
First, calculate the GCD of 192 and 128 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 192 ÷ 128 = 1 remainder 64 |
| 2 | 128 ÷ 64 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 31 and 17 | 527 |
| 24 and 122 | 1464 |
| 42 and 172 | 3612 |
| 101 and 152 | 15352 |
| 114 and 16 | 912 |