Least Common Multiple (LCM) of 182 and 129
The least common multiple (LCM) of 182 and 129 is 23478.
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 129?
First, calculate the GCD of 182 and 129 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 182 ÷ 129 = 1 remainder 53 |
| 2 | 129 ÷ 53 = 2 remainder 23 |
| 3 | 53 ÷ 23 = 2 remainder 7 |
| 4 | 23 ÷ 7 = 3 remainder 2 |
| 5 | 7 ÷ 2 = 3 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 140 and 36 | 1260 |
| 173 and 130 | 22490 |
| 166 and 30 | 2490 |
| 100 and 72 | 1800 |
| 82 and 196 | 8036 |