Least Common Multiple (LCM) of 128 and 170
The least common multiple (LCM) of 128 and 170 is 10880.
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 170?
First, calculate the GCD of 128 and 170 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 128 ÷ 170 = 0 remainder 128 |
| 2 | 170 ÷ 128 = 1 remainder 42 |
| 3 | 128 ÷ 42 = 3 remainder 2 |
| 4 | 42 ÷ 2 = 21 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 17 and 86 | 1462 |
| 188 and 172 | 8084 |
| 140 and 87 | 12180 |
| 190 and 181 | 34390 |
| 194 and 182 | 17654 |