Least Common Multiple (LCM) of 132 and 182
The least common multiple (LCM) of 132 and 182 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 132 and 182?
First, calculate the GCD of 132 and 182 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 132 ÷ 182 = 0 remainder 132 |
| 2 | 182 ÷ 132 = 1 remainder 50 |
| 3 | 132 ÷ 50 = 2 remainder 32 |
| 4 | 50 ÷ 32 = 1 remainder 18 |
| 5 | 32 ÷ 18 = 1 remainder 14 |
| 6 | 18 ÷ 14 = 1 remainder 4 |
| 7 | 14 ÷ 4 = 3 remainder 2 |
| 8 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 75 and 40 | 600 |
| 19 and 52 | 988 |
| 193 and 76 | 14668 |
| 178 and 120 | 10680 |
| 139 and 128 | 17792 |