Least Common Multiple (LCM) of 170 and 86
The least common multiple (LCM) of 170 and 86 is 7310.
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 86?
First, calculate the GCD of 170 and 86 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 170 ÷ 86 = 1 remainder 84 |
| 2 | 86 ÷ 84 = 1 remainder 2 |
| 3 | 84 ÷ 2 = 42 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 104 and 151 | 15704 |
| 136 and 152 | 2584 |
| 57 and 84 | 1596 |
| 42 and 160 | 3360 |
| 106 and 198 | 10494 |