Least Common Multiple (LCM) of 182 and 189
The least common multiple (LCM) of 182 and 189 is 4914.
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 189?
First, calculate the GCD of 182 and 189 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 182 ÷ 189 = 0 remainder 182 |
| 2 | 189 ÷ 182 = 1 remainder 7 |
| 3 | 182 ÷ 7 = 26 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 167 and 72 | 12024 |
| 146 and 193 | 28178 |
| 138 and 40 | 2760 |
| 121 and 142 | 17182 |
| 26 and 19 | 494 |