Least Common Multiple (LCM) of 130 and 183
The least common multiple (LCM) of 130 and 183 is 23790.
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 183?
First, calculate the GCD of 130 and 183 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 130 ÷ 183 = 0 remainder 130 |
| 2 | 183 ÷ 130 = 1 remainder 53 |
| 3 | 130 ÷ 53 = 2 remainder 24 |
| 4 | 53 ÷ 24 = 2 remainder 5 |
| 5 | 24 ÷ 5 = 4 remainder 4 |
| 6 | 5 ÷ 4 = 1 remainder 1 |
| 7 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 112 and 34 | 1904 |
| 118 and 132 | 7788 |
| 169 and 193 | 32617 |
| 150 and 33 | 1650 |
| 172 and 130 | 11180 |