Least Common Multiple (LCM) of 182 and 68
The least common multiple (LCM) of 182 and 68 is 6188.
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 68?
First, calculate the GCD of 182 and 68 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 182 ÷ 68 = 2 remainder 46 |
| 2 | 68 ÷ 46 = 1 remainder 22 |
| 3 | 46 ÷ 22 = 2 remainder 2 |
| 4 | 22 ÷ 2 = 11 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 138 and 173 | 23874 |
| 186 and 184 | 17112 |
| 134 and 195 | 26130 |
| 56 and 198 | 5544 |
| 187 and 17 | 187 |