Least Common Multiple (LCM) of 186 and 130
The least common multiple (LCM) of 186 and 130 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 186 and 130?
First, calculate the GCD of 186 and 130 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 186 ÷ 130 = 1 remainder 56 |
| 2 | 130 ÷ 56 = 2 remainder 18 |
| 3 | 56 ÷ 18 = 3 remainder 2 |
| 4 | 18 ÷ 2 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 181 and 105 | 19005 |
| 150 and 68 | 5100 |
| 109 and 38 | 4142 |
| 138 and 140 | 9660 |
| 52 and 138 | 3588 |