Least Common Multiple (LCM) of 130 and 191
The least common multiple (LCM) of 130 and 191 is 24830.
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 191?
First, calculate the GCD of 130 and 191 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 130 ÷ 191 = 0 remainder 130 |
| 2 | 191 ÷ 130 = 1 remainder 61 |
| 3 | 130 ÷ 61 = 2 remainder 8 |
| 4 | 61 ÷ 8 = 7 remainder 5 |
| 5 | 8 ÷ 5 = 1 remainder 3 |
| 6 | 5 ÷ 3 = 1 remainder 2 |
| 7 | 3 ÷ 2 = 1 remainder 1 |
| 8 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 27 and 192 | 1728 |
| 43 and 131 | 5633 |
| 172 and 65 | 11180 |
| 53 and 41 | 2173 |
| 172 and 195 | 33540 |