Least Common Multiple (LCM) of 183 and 133
The least common multiple (LCM) of 183 and 133 is 24339.
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 133?
First, calculate the GCD of 183 and 133 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 183 ÷ 133 = 1 remainder 50 |
| 2 | 133 ÷ 50 = 2 remainder 33 |
| 3 | 50 ÷ 33 = 1 remainder 17 |
| 4 | 33 ÷ 17 = 1 remainder 16 |
| 5 | 17 ÷ 16 = 1 remainder 1 |
| 6 | 16 ÷ 1 = 16 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 29 and 115 | 3335 |
| 68 and 35 | 2380 |
| 48 and 112 | 336 |
| 77 and 181 | 13937 |
| 77 and 54 | 4158 |