Least Common Multiple (LCM) of 181 and 45
The least common multiple (LCM) of 181 and 45 is 8145.
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 45?
First, calculate the GCD of 181 and 45 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 181 ÷ 45 = 4 remainder 1 |
| 2 | 45 ÷ 1 = 45 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 111 and 177 | 6549 |
| 36 and 190 | 3420 |
| 82 and 171 | 14022 |
| 53 and 52 | 2756 |
| 31 and 113 | 3503 |