Least Common Multiple (LCM) of 130 and 181
The least common multiple (LCM) of 130 and 181 is 23530.
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 130 and 181?
First, calculate the GCD of 130 and 181 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 130 ÷ 181 = 0 remainder 130 |
| 2 | 181 ÷ 130 = 1 remainder 51 |
| 3 | 130 ÷ 51 = 2 remainder 28 |
| 4 | 51 ÷ 28 = 1 remainder 23 |
| 5 | 28 ÷ 23 = 1 remainder 5 |
| 6 | 23 ÷ 5 = 4 remainder 3 |
| 7 | 5 ÷ 3 = 1 remainder 2 |
| 8 | 3 ÷ 2 = 1 remainder 1 |
| 9 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 90 and 68 | 3060 |
| 159 and 138 | 7314 |
| 189 and 83 | 15687 |
| 16 and 23 | 368 |
| 114 and 141 | 5358 |