Least Common Multiple (LCM) of 181 and 133
The least common multiple (LCM) of 181 and 133 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 181 and 133?
First, calculate the GCD of 181 and 133 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 181 ÷ 133 = 1 remainder 48 |
| 2 | 133 ÷ 48 = 2 remainder 37 |
| 3 | 48 ÷ 37 = 1 remainder 11 |
| 4 | 37 ÷ 11 = 3 remainder 4 |
| 5 | 11 ÷ 4 = 2 remainder 3 |
| 6 | 4 ÷ 3 = 1 remainder 1 |
| 7 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 15 and 30 | 30 |
| 37 and 32 | 1184 |
| 88 and 96 | 1056 |
| 61 and 127 | 7747 |
| 135 and 13 | 1755 |