Least Common Multiple (LCM) of 45 and 181
The least common multiple (LCM) of 45 and 181 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 45 and 181?
First, calculate the GCD of 45 and 181 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 45 ÷ 181 = 0 remainder 45 |
| 2 | 181 ÷ 45 = 4 remainder 1 |
| 3 | 45 ÷ 1 = 45 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 129 and 67 | 8643 |
| 163 and 130 | 21190 |
| 106 and 169 | 17914 |
| 195 and 122 | 23790 |
| 82 and 112 | 4592 |