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 |
|---|---|
| 164 and 182 | 14924 |
| 53 and 102 | 5406 |
| 168 and 128 | 2688 |
| 33 and 189 | 2079 |
| 83 and 53 | 4399 |