Least Common Multiple (LCM) of 104 and 87
The least common multiple (LCM) of 104 and 87 is 9048.
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 104 and 87?
First, calculate the GCD of 104 and 87 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 104 ÷ 87 = 1 remainder 17 |
| 2 | 87 ÷ 17 = 5 remainder 2 |
| 3 | 17 ÷ 2 = 8 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 148 and 190 | 14060 |
| 76 and 194 | 7372 |
| 187 and 94 | 17578 |
| 124 and 139 | 17236 |
| 49 and 80 | 3920 |