Least Common Multiple (LCM) of 181 and 170
The least common multiple (LCM) of 181 and 170 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 181 and 170?
First, calculate the GCD of 181 and 170 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 181 ÷ 170 = 1 remainder 11 |
| 2 | 170 ÷ 11 = 15 remainder 5 |
| 3 | 11 ÷ 5 = 2 remainder 1 |
| 4 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 12 and 28 | 84 |
| 162 and 174 | 4698 |
| 35 and 120 | 840 |
| 21 and 182 | 546 |
| 140 and 60 | 420 |