Least Common Multiple (LCM) of 123 and 184
The least common multiple (LCM) of 123 and 184 is 22632.
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 123 and 184?
First, calculate the GCD of 123 and 184 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 123 ÷ 184 = 0 remainder 123 |
| 2 | 184 ÷ 123 = 1 remainder 61 |
| 3 | 123 ÷ 61 = 2 remainder 1 |
| 4 | 61 ÷ 1 = 61 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 30 and 175 | 1050 |
| 120 and 19 | 2280 |
| 199 and 54 | 10746 |
| 15 and 186 | 930 |
| 200 and 46 | 4600 |