Least Common Multiple (LCM) of 182 and 114
The least common multiple (LCM) of 182 and 114 is 10374.
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 114?
First, calculate the GCD of 182 and 114 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 182 ÷ 114 = 1 remainder 68 |
| 2 | 114 ÷ 68 = 1 remainder 46 |
| 3 | 68 ÷ 46 = 1 remainder 22 |
| 4 | 46 ÷ 22 = 2 remainder 2 |
| 5 | 22 ÷ 2 = 11 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 133 and 35 | 665 |
| 130 and 125 | 3250 |
| 181 and 94 | 17014 |
| 75 and 42 | 1050 |
| 98 and 162 | 7938 |