Least Common Multiple (LCM) of 170 and 181
The least common multiple (LCM) of 170 and 181 is 30770.
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 181?
First, calculate the GCD of 170 and 181 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 170 ÷ 181 = 0 remainder 170 |
| 2 | 181 ÷ 170 = 1 remainder 11 |
| 3 | 170 ÷ 11 = 15 remainder 5 |
| 4 | 11 ÷ 5 = 2 remainder 1 |
| 5 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 76 and 54 | 2052 |
| 164 and 149 | 24436 |
| 45 and 161 | 7245 |
| 36 and 22 | 396 |
| 110 and 178 | 9790 |