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 |
|---|---|
| 141 and 55 | 7755 |
| 79 and 52 | 4108 |
| 134 and 51 | 6834 |
| 168 and 191 | 32088 |
| 183 and 32 | 5856 |