Least Common Multiple (LCM) of 182 and 132
The least common multiple (LCM) of 182 and 132 is 12012.
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 132?
First, calculate the GCD of 182 and 132 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 182 ÷ 132 = 1 remainder 50 |
| 2 | 132 ÷ 50 = 2 remainder 32 |
| 3 | 50 ÷ 32 = 1 remainder 18 |
| 4 | 32 ÷ 18 = 1 remainder 14 |
| 5 | 18 ÷ 14 = 1 remainder 4 |
| 6 | 14 ÷ 4 = 3 remainder 2 |
| 7 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 138 and 99 | 4554 |
| 174 and 181 | 31494 |
| 132 and 63 | 2772 |
| 178 and 198 | 17622 |
| 168 and 107 | 17976 |