Least Common Multiple (LCM) of 171 and 128
The least common multiple (LCM) of 171 and 128 is 21888.
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 171 and 128?
First, calculate the GCD of 171 and 128 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 171 ÷ 128 = 1 remainder 43 |
| 2 | 128 ÷ 43 = 2 remainder 42 |
| 3 | 43 ÷ 42 = 1 remainder 1 |
| 4 | 42 ÷ 1 = 42 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 15 and 155 | 465 |
| 18 and 112 | 1008 |
| 107 and 104 | 11128 |
| 57 and 194 | 11058 |
| 38 and 160 | 3040 |