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 |
|---|---|
| 169 and 22 | 3718 |
| 32 and 112 | 224 |
| 112 and 34 | 1904 |
| 17 and 92 | 1564 |
| 38 and 93 | 3534 |