Least Common Multiple (LCM) of 183 and 132
The least common multiple (LCM) of 183 and 132 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 183 and 132?
First, calculate the GCD of 183 and 132 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 183 ÷ 132 = 1 remainder 51 |
| 2 | 132 ÷ 51 = 2 remainder 30 |
| 3 | 51 ÷ 30 = 1 remainder 21 |
| 4 | 30 ÷ 21 = 1 remainder 9 |
| 5 | 21 ÷ 9 = 2 remainder 3 |
| 6 | 9 ÷ 3 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 103 and 53 | 5459 |
| 97 and 159 | 15423 |
| 142 and 107 | 15194 |
| 97 and 92 | 8924 |
| 135 and 49 | 6615 |