Least Common Multiple (LCM) of 22 and 184
The least common multiple (LCM) of 22 and 184 is 2024.
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 22 and 184?
First, calculate the GCD of 22 and 184 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 22 ÷ 184 = 0 remainder 22 |
| 2 | 184 ÷ 22 = 8 remainder 8 |
| 3 | 22 ÷ 8 = 2 remainder 6 |
| 4 | 8 ÷ 6 = 1 remainder 2 |
| 5 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 40 and 157 | 6280 |
| 111 and 55 | 6105 |
| 125 and 25 | 125 |
| 190 and 106 | 10070 |
| 176 and 78 | 6864 |