Least Common Multiple (LCM) of 173 and 130
The least common multiple (LCM) of 173 and 130 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 173 and 130?
First, calculate the GCD of 173 and 130 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 173 ÷ 130 = 1 remainder 43 |
| 2 | 130 ÷ 43 = 3 remainder 1 |
| 3 | 43 ÷ 1 = 43 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 23 and 198 | 4554 |
| 168 and 199 | 33432 |
| 30 and 132 | 660 |
| 113 and 138 | 15594 |
| 159 and 193 | 30687 |