Least Common Multiple (LCM) of 104 and 182
The least common multiple (LCM) of 104 and 182 is 728.
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 182?
First, calculate the GCD of 104 and 182 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 104 ÷ 182 = 0 remainder 104 |
| 2 | 182 ÷ 104 = 1 remainder 78 |
| 3 | 104 ÷ 78 = 1 remainder 26 |
| 4 | 78 ÷ 26 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 47 and 49 | 2303 |
| 39 and 145 | 5655 |
| 175 and 189 | 4725 |
| 86 and 30 | 1290 |
| 24 and 40 | 120 |