Least Common Multiple (LCM) of 104 and 85
The least common multiple (LCM) of 104 and 85 is 8840.
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 85?
First, calculate the GCD of 104 and 85 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 104 ÷ 85 = 1 remainder 19 |
| 2 | 85 ÷ 19 = 4 remainder 9 |
| 3 | 19 ÷ 9 = 2 remainder 1 |
| 4 | 9 ÷ 1 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 162 and 194 | 15714 |
| 184 and 193 | 35512 |
| 52 and 68 | 884 |
| 43 and 140 | 6020 |
| 155 and 126 | 19530 |