Least Common Multiple (LCM) of 132 and 183
The least common multiple (LCM) of 132 and 183 is 8052.
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 183?
First, calculate the GCD of 132 and 183 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 132 ÷ 183 = 0 remainder 132 |
| 2 | 183 ÷ 132 = 1 remainder 51 |
| 3 | 132 ÷ 51 = 2 remainder 30 |
| 4 | 51 ÷ 30 = 1 remainder 21 |
| 5 | 30 ÷ 21 = 1 remainder 9 |
| 6 | 21 ÷ 9 = 2 remainder 3 |
| 7 | 9 ÷ 3 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 12 and 149 | 1788 |
| 23 and 115 | 115 |
| 58 and 180 | 5220 |
| 96 and 21 | 672 |
| 45 and 18 | 90 |