Least Common Multiple (LCM) of 133 and 181
The least common multiple (LCM) of 133 and 181 is 24073.
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 181?
First, calculate the GCD of 133 and 181 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 133 ÷ 181 = 0 remainder 133 |
| 2 | 181 ÷ 133 = 1 remainder 48 |
| 3 | 133 ÷ 48 = 2 remainder 37 |
| 4 | 48 ÷ 37 = 1 remainder 11 |
| 5 | 37 ÷ 11 = 3 remainder 4 |
| 6 | 11 ÷ 4 = 2 remainder 3 |
| 7 | 4 ÷ 3 = 1 remainder 1 |
| 8 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 145 and 128 | 18560 |
| 182 and 113 | 20566 |
| 45 and 72 | 360 |
| 69 and 124 | 8556 |
| 45 and 164 | 7380 |