Least Common Multiple (LCM) of 130 and 188
The least common multiple (LCM) of 130 and 188 is 12220.
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 188?
First, calculate the GCD of 130 and 188 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 130 ÷ 188 = 0 remainder 130 |
| 2 | 188 ÷ 130 = 1 remainder 58 |
| 3 | 130 ÷ 58 = 2 remainder 14 |
| 4 | 58 ÷ 14 = 4 remainder 2 |
| 5 | 14 ÷ 2 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 146 and 198 | 14454 |
| 52 and 19 | 988 |
| 150 and 60 | 300 |
| 22 and 77 | 154 |
| 158 and 71 | 11218 |