Least Common Multiple (LCM) of 130 and 186
The least common multiple (LCM) of 130 and 186 is 12090.
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 186?
First, calculate the GCD of 130 and 186 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 130 ÷ 186 = 0 remainder 130 |
| 2 | 186 ÷ 130 = 1 remainder 56 |
| 3 | 130 ÷ 56 = 2 remainder 18 |
| 4 | 56 ÷ 18 = 3 remainder 2 |
| 5 | 18 ÷ 2 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 100 and 28 | 700 |
| 19 and 136 | 2584 |
| 186 and 146 | 13578 |
| 57 and 150 | 2850 |
| 32 and 42 | 672 |