Least Common Multiple (LCM) of 115 and 172
The least common multiple (LCM) of 115 and 172 is 19780.
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 172?
First, calculate the GCD of 115 and 172 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 115 ÷ 172 = 0 remainder 115 |
| 2 | 172 ÷ 115 = 1 remainder 57 |
| 3 | 115 ÷ 57 = 2 remainder 1 |
| 4 | 57 ÷ 1 = 57 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 161 and 191 | 30751 |
| 183 and 80 | 14640 |
| 11 and 63 | 693 |
| 110 and 193 | 21230 |
| 138 and 60 | 1380 |