Least Common Multiple (LCM) of 81 and 170
The least common multiple (LCM) of 81 and 170 is 13770.
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 81 and 170?
First, calculate the GCD of 81 and 170 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 81 ÷ 170 = 0 remainder 81 |
| 2 | 170 ÷ 81 = 2 remainder 8 |
| 3 | 81 ÷ 8 = 10 remainder 1 |
| 4 | 8 ÷ 1 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 190 and 51 | 9690 |
| 17 and 119 | 119 |
| 100 and 189 | 18900 |
| 23 and 107 | 2461 |
| 68 and 137 | 9316 |