Least Common Multiple (LCM) of 182 and 186
The least common multiple (LCM) of 182 and 186 is 16926.
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 186?
First, calculate the GCD of 182 and 186 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 182 ÷ 186 = 0 remainder 182 |
| 2 | 186 ÷ 182 = 1 remainder 4 |
| 3 | 182 ÷ 4 = 45 remainder 2 |
| 4 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 17 and 110 | 1870 |
| 27 and 120 | 1080 |
| 174 and 189 | 10962 |
| 132 and 62 | 4092 |
| 42 and 23 | 966 |