Least Common Multiple (LCM) of 128 and 138
The least common multiple (LCM) of 128 and 138 is 8832.
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 138?
First, calculate the GCD of 128 and 138 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 128 ÷ 138 = 0 remainder 128 |
| 2 | 138 ÷ 128 = 1 remainder 10 |
| 3 | 128 ÷ 10 = 12 remainder 8 |
| 4 | 10 ÷ 8 = 1 remainder 2 |
| 5 | 8 ÷ 2 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 130 and 195 | 390 |
| 101 and 172 | 17372 |
| 71 and 181 | 12851 |
| 12 and 152 | 456 |
| 124 and 78 | 4836 |