Least Common Multiple (LCM) of 193 and 130
The least common multiple (LCM) of 193 and 130 is 25090.
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 193 and 130?
First, calculate the GCD of 193 and 130 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 193 ÷ 130 = 1 remainder 63 |
| 2 | 130 ÷ 63 = 2 remainder 4 |
| 3 | 63 ÷ 4 = 15 remainder 3 |
| 4 | 4 ÷ 3 = 1 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 22 and 20 | 220 |
| 125 and 176 | 22000 |
| 39 and 69 | 897 |
| 60 and 67 | 4020 |
| 86 and 88 | 3784 |