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 |
|---|---|
| 55 and 59 | 3245 |
| 121 and 147 | 17787 |
| 49 and 72 | 3528 |
| 179 and 96 | 17184 |
| 68 and 58 | 1972 |