Least Common Multiple (LCM) of 141 and 128
The least common multiple (LCM) of 141 and 128 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 141 and 128?
First, calculate the GCD of 141 and 128 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 141 ÷ 128 = 1 remainder 13 |
| 2 | 128 ÷ 13 = 9 remainder 11 |
| 3 | 13 ÷ 11 = 1 remainder 2 |
| 4 | 11 ÷ 2 = 5 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 100 and 100 | 100 |
| 132 and 76 | 2508 |
| 106 and 137 | 14522 |
| 86 and 101 | 8686 |
| 162 and 159 | 8586 |