Least Common Multiple (LCM) of 104 and 110
The least common multiple (LCM) of 104 and 110 is 5720.
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 110?
First, calculate the GCD of 104 and 110 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 104 ÷ 110 = 0 remainder 104 |
| 2 | 110 ÷ 104 = 1 remainder 6 |
| 3 | 104 ÷ 6 = 17 remainder 2 |
| 4 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 57 and 69 | 1311 |
| 125 and 168 | 21000 |
| 188 and 182 | 17108 |
| 109 and 103 | 11227 |
| 113 and 172 | 19436 |