Least Common Multiple (LCM) of 182 and 118
The least common multiple (LCM) of 182 and 118 is 10738.
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 118?
First, calculate the GCD of 182 and 118 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 182 ÷ 118 = 1 remainder 64 |
| 2 | 118 ÷ 64 = 1 remainder 54 |
| 3 | 64 ÷ 54 = 1 remainder 10 |
| 4 | 54 ÷ 10 = 5 remainder 4 |
| 5 | 10 ÷ 4 = 2 remainder 2 |
| 6 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 11 and 96 | 1056 |
| 69 and 117 | 2691 |
| 116 and 186 | 10788 |
| 181 and 82 | 14842 |
| 45 and 54 | 270 |