Least Common Multiple (LCM) of 86 and 170
The least common multiple (LCM) of 86 and 170 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 86 and 170?
First, calculate the GCD of 86 and 170 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 86 ÷ 170 = 0 remainder 86 |
| 2 | 170 ÷ 86 = 1 remainder 84 |
| 3 | 86 ÷ 84 = 1 remainder 2 |
| 4 | 84 ÷ 2 = 42 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 157 and 178 | 27946 |
| 52 and 20 | 260 |
| 20 and 156 | 780 |
| 39 and 90 | 1170 |
| 149 and 176 | 26224 |