Least Common Multiple (LCM) of 183 and 135
The least common multiple (LCM) of 183 and 135 is 8235.
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 135?
First, calculate the GCD of 183 and 135 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 183 ÷ 135 = 1 remainder 48 |
| 2 | 135 ÷ 48 = 2 remainder 39 |
| 3 | 48 ÷ 39 = 1 remainder 9 |
| 4 | 39 ÷ 9 = 4 remainder 3 |
| 5 | 9 ÷ 3 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 60 and 36 | 180 |
| 101 and 182 | 18382 |
| 58 and 28 | 812 |
| 58 and 200 | 5800 |
| 102 and 111 | 3774 |