Least Common Multiple (LCM) of 118 and 182
The least common multiple (LCM) of 118 and 182 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 118 and 182?
First, calculate the GCD of 118 and 182 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 118 ÷ 182 = 0 remainder 118 |
| 2 | 182 ÷ 118 = 1 remainder 64 |
| 3 | 118 ÷ 64 = 1 remainder 54 |
| 4 | 64 ÷ 54 = 1 remainder 10 |
| 5 | 54 ÷ 10 = 5 remainder 4 |
| 6 | 10 ÷ 4 = 2 remainder 2 |
| 7 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 161 and 46 | 322 |
| 145 and 32 | 4640 |
| 60 and 200 | 600 |
| 198 and 134 | 13266 |
| 52 and 181 | 9412 |