Least Common Multiple (LCM) of 180 and 89
The least common multiple (LCM) of 180 and 89 is 16020.
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 89?
First, calculate the GCD of 180 and 89 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 180 ÷ 89 = 2 remainder 2 |
| 2 | 89 ÷ 2 = 44 remainder 1 |
| 3 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 43 and 171 | 7353 |
| 130 and 185 | 4810 |
| 180 and 118 | 10620 |
| 55 and 181 | 9955 |
| 142 and 147 | 20874 |