Least Common Multiple (LCM) of 104 and 146
The least common multiple (LCM) of 104 and 146 is 7592.
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 146?
First, calculate the GCD of 104 and 146 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 104 ÷ 146 = 0 remainder 104 |
| 2 | 146 ÷ 104 = 1 remainder 42 |
| 3 | 104 ÷ 42 = 2 remainder 20 |
| 4 | 42 ÷ 20 = 2 remainder 2 |
| 5 | 20 ÷ 2 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 37 and 200 | 7400 |
| 44 and 170 | 3740 |
| 173 and 164 | 28372 |
| 176 and 191 | 33616 |
| 64 and 200 | 1600 |