Least Common Multiple (LCM) of 192 and 130
The least common multiple (LCM) of 192 and 130 is 12480.
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 192 and 130?
First, calculate the GCD of 192 and 130 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 192 ÷ 130 = 1 remainder 62 |
| 2 | 130 ÷ 62 = 2 remainder 6 |
| 3 | 62 ÷ 6 = 10 remainder 2 |
| 4 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 120 and 21 | 840 |
| 60 and 24 | 120 |
| 88 and 148 | 3256 |
| 49 and 59 | 2891 |
| 67 and 82 | 5494 |