Least Common Multiple (LCM) of 182 and 184
The least common multiple (LCM) of 182 and 184 is 16744.
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 182 and 184?
First, calculate the GCD of 182 and 184 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 182 ÷ 184 = 0 remainder 182 |
| 2 | 184 ÷ 182 = 1 remainder 2 |
| 3 | 182 ÷ 2 = 91 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 87 and 97 | 8439 |
| 138 and 96 | 2208 |
| 120 and 95 | 2280 |
| 101 and 51 | 5151 |
| 195 and 125 | 4875 |