Least Common Multiple (LCM) of 180 and 181
The least common multiple (LCM) of 180 and 181 is 32580.
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 180 and 181?
First, calculate the GCD of 180 and 181 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 180 ÷ 181 = 0 remainder 180 |
| 2 | 181 ÷ 180 = 1 remainder 1 |
| 3 | 180 ÷ 1 = 180 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 12 and 119 | 1428 |
| 84 and 82 | 3444 |
| 57 and 46 | 2622 |
| 135 and 196 | 26460 |
| 97 and 101 | 9797 |