Least Common Multiple (LCM) of 170 and 81
The least common multiple (LCM) of 170 and 81 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 170 and 81?
First, calculate the GCD of 170 and 81 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 170 ÷ 81 = 2 remainder 8 |
| 2 | 81 ÷ 8 = 10 remainder 1 |
| 3 | 8 ÷ 1 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 105 and 188 | 19740 |
| 48 and 99 | 1584 |
| 103 and 117 | 12051 |
| 89 and 86 | 7654 |
| 14 and 166 | 1162 |