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 |
|---|---|
| 124 and 54 | 3348 |
| 122 and 70 | 4270 |
| 18 and 168 | 504 |
| 156 and 169 | 2028 |
| 127 and 124 | 15748 |