Least Common Multiple (LCM) of 130 and 173
The least common multiple (LCM) of 130 and 173 is 22490.
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 173?
First, calculate the GCD of 130 and 173 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 130 ÷ 173 = 0 remainder 130 |
| 2 | 173 ÷ 130 = 1 remainder 43 |
| 3 | 130 ÷ 43 = 3 remainder 1 |
| 4 | 43 ÷ 1 = 43 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 197 and 24 | 4728 |
| 42 and 15 | 210 |
| 105 and 174 | 6090 |
| 140 and 182 | 1820 |
| 25 and 133 | 3325 |