Least Common Multiple (LCM) of 20 and 181
The least common multiple (LCM) of 20 and 181 is 3620.
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 20 and 181?
First, calculate the GCD of 20 and 181 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 20 ÷ 181 = 0 remainder 20 |
| 2 | 181 ÷ 20 = 9 remainder 1 |
| 3 | 20 ÷ 1 = 20 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 77 and 58 | 4466 |
| 100 and 172 | 4300 |
| 198 and 127 | 25146 |
| 120 and 154 | 9240 |
| 89 and 39 | 3471 |