Least Common Multiple (LCM) of 133 and 183
The least common multiple (LCM) of 133 and 183 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 133 and 183?
First, calculate the GCD of 133 and 183 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 133 ÷ 183 = 0 remainder 133 |
| 2 | 183 ÷ 133 = 1 remainder 50 |
| 3 | 133 ÷ 50 = 2 remainder 33 |
| 4 | 50 ÷ 33 = 1 remainder 17 |
| 5 | 33 ÷ 17 = 1 remainder 16 |
| 6 | 17 ÷ 16 = 1 remainder 1 |
| 7 | 16 ÷ 1 = 16 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 12 and 194 | 1164 |
| 105 and 142 | 14910 |
| 24 and 156 | 312 |
| 22 and 96 | 1056 |
| 188 and 121 | 22748 |