Least Common Multiple (LCM) of 182 and 104
The least common multiple (LCM) of 182 and 104 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 182 and 104?
First, calculate the GCD of 182 and 104 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 182 ÷ 104 = 1 remainder 78 |
| 2 | 104 ÷ 78 = 1 remainder 26 |
| 3 | 78 ÷ 26 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 171 and 198 | 3762 |
| 12 and 120 | 120 |
| 144 and 137 | 19728 |
| 165 and 198 | 990 |
| 144 and 147 | 7056 |