Least Common Multiple (LCM) of 115 and 87
The least common multiple (LCM) of 115 and 87 is 10005.
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 87?
First, calculate the GCD of 115 and 87 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 115 ÷ 87 = 1 remainder 28 |
| 2 | 87 ÷ 28 = 3 remainder 3 |
| 3 | 28 ÷ 3 = 9 remainder 1 |
| 4 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 192 and 130 | 12480 |
| 188 and 173 | 32524 |
| 67 and 192 | 12864 |
| 33 and 183 | 2013 |
| 83 and 27 | 2241 |