Least Common Multiple (LCM) of 170 and 128
The least common multiple (LCM) of 170 and 128 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 170 and 128?
First, calculate the GCD of 170 and 128 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 170 ÷ 128 = 1 remainder 42 |
| 2 | 128 ÷ 42 = 3 remainder 2 |
| 3 | 42 ÷ 2 = 21 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 40 and 190 | 760 |
| 47 and 131 | 6157 |
| 192 and 53 | 10176 |
| 90 and 17 | 1530 |
| 142 and 60 | 4260 |