Least Common Multiple (LCM) of 184 and 146
The least common multiple (LCM) of 184 and 146 is 13432.
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 184 and 146?
First, calculate the GCD of 184 and 146 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 184 ÷ 146 = 1 remainder 38 |
| 2 | 146 ÷ 38 = 3 remainder 32 |
| 3 | 38 ÷ 32 = 1 remainder 6 |
| 4 | 32 ÷ 6 = 5 remainder 2 |
| 5 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 123 and 133 | 16359 |
| 25 and 130 | 650 |
| 90 and 127 | 11430 |
| 43 and 169 | 7267 |
| 148 and 102 | 7548 |