Least Common Multiple (LCM) of 96 and 115
The least common multiple (LCM) of 96 and 115 is 11040.
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 96 and 115?
First, calculate the GCD of 96 and 115 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 96 ÷ 115 = 0 remainder 96 |
| 2 | 115 ÷ 96 = 1 remainder 19 |
| 3 | 96 ÷ 19 = 5 remainder 1 |
| 4 | 19 ÷ 1 = 19 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 169 and 108 | 18252 |
| 195 and 159 | 10335 |
| 17 and 114 | 1938 |
| 110 and 199 | 21890 |
| 20 and 39 | 780 |