Least Common Multiple (LCM) of 128 and 141
The least common multiple (LCM) of 128 and 141 is 18048.
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 141?
First, calculate the GCD of 128 and 141 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 128 ÷ 141 = 0 remainder 128 |
| 2 | 141 ÷ 128 = 1 remainder 13 |
| 3 | 128 ÷ 13 = 9 remainder 11 |
| 4 | 13 ÷ 11 = 1 remainder 2 |
| 5 | 11 ÷ 2 = 5 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 27 and 116 | 3132 |
| 75 and 177 | 4425 |
| 32 and 45 | 1440 |
| 109 and 156 | 17004 |
| 196 and 110 | 10780 |