Least Common Multiple (LCM) of 184 and 123
The least common multiple (LCM) of 184 and 123 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 184 and 123?
First, calculate the GCD of 184 and 123 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 184 ÷ 123 = 1 remainder 61 |
| 2 | 123 ÷ 61 = 2 remainder 1 |
| 3 | 61 ÷ 1 = 61 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 116 and 182 | 10556 |
| 159 and 144 | 7632 |
| 153 and 22 | 3366 |
| 169 and 104 | 1352 |
| 141 and 167 | 23547 |