Least Common Multiple (LCM) of 145 and 184
The least common multiple (LCM) of 145 and 184 is 26680.
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 145 and 184?
First, calculate the GCD of 145 and 184 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 145 ÷ 184 = 0 remainder 145 |
| 2 | 184 ÷ 145 = 1 remainder 39 |
| 3 | 145 ÷ 39 = 3 remainder 28 |
| 4 | 39 ÷ 28 = 1 remainder 11 |
| 5 | 28 ÷ 11 = 2 remainder 6 |
| 6 | 11 ÷ 6 = 1 remainder 5 |
| 7 | 6 ÷ 5 = 1 remainder 1 |
| 8 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 57 and 149 | 8493 |
| 186 and 10 | 930 |
| 172 and 49 | 8428 |
| 95 and 16 | 1520 |
| 199 and 103 | 20497 |