Least Common Multiple (LCM) of 170 and 80
The least common multiple (LCM) of 170 and 80 is 1360.
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 80?
First, calculate the GCD of 170 and 80 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 170 ÷ 80 = 2 remainder 10 |
| 2 | 80 ÷ 10 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 102 and 172 | 8772 |
| 188 and 100 | 4700 |
| 54 and 135 | 270 |
| 114 and 25 | 2850 |
| 140 and 68 | 2380 |