Least Common Multiple (LCM) of 115 and 173
The least common multiple (LCM) of 115 and 173 is 19895.
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 115 and 173?
First, calculate the GCD of 115 and 173 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 115 ÷ 173 = 0 remainder 115 |
| 2 | 173 ÷ 115 = 1 remainder 58 |
| 3 | 115 ÷ 58 = 1 remainder 57 |
| 4 | 58 ÷ 57 = 1 remainder 1 |
| 5 | 57 ÷ 1 = 57 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 115 and 84 | 9660 |
| 176 and 155 | 27280 |
| 165 and 107 | 17655 |
| 145 and 78 | 11310 |
| 176 and 178 | 15664 |