Least Common Multiple (LCM) of 89 and 182
The least common multiple (LCM) of 89 and 182 is 16198.
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 89 and 182?
First, calculate the GCD of 89 and 182 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 89 ÷ 182 = 0 remainder 89 |
| 2 | 182 ÷ 89 = 2 remainder 4 |
| 3 | 89 ÷ 4 = 22 remainder 1 |
| 4 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 66 and 100 | 3300 |
| 80 and 200 | 400 |
| 110 and 187 | 1870 |
| 151 and 164 | 24764 |
| 172 and 100 | 4300 |