Least Common Multiple (LCM) of 184 and 145
The least common multiple (LCM) of 184 and 145 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 184 and 145?
First, calculate the GCD of 184 and 145 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 184 ÷ 145 = 1 remainder 39 |
| 2 | 145 ÷ 39 = 3 remainder 28 |
| 3 | 39 ÷ 28 = 1 remainder 11 |
| 4 | 28 ÷ 11 = 2 remainder 6 |
| 5 | 11 ÷ 6 = 1 remainder 5 |
| 6 | 6 ÷ 5 = 1 remainder 1 |
| 7 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 133 and 20 | 2660 |
| 88 and 103 | 9064 |
| 24 and 24 | 24 |
| 71 and 168 | 11928 |
| 180 and 115 | 4140 |