Least Common Multiple (LCM) of 182 and 150
The least common multiple (LCM) of 182 and 150 is 13650.
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 150?
First, calculate the GCD of 182 and 150 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 182 ÷ 150 = 1 remainder 32 |
| 2 | 150 ÷ 32 = 4 remainder 22 |
| 3 | 32 ÷ 22 = 1 remainder 10 |
| 4 | 22 ÷ 10 = 2 remainder 2 |
| 5 | 10 ÷ 2 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 189 and 105 | 945 |
| 109 and 184 | 20056 |
| 17 and 15 | 255 |
| 44 and 153 | 6732 |
| 109 and 194 | 21146 |