Least Common Multiple (LCM) of 184 and 163
The least common multiple (LCM) of 184 and 163 is 29992.
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 163?
First, calculate the GCD of 184 and 163 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 184 ÷ 163 = 1 remainder 21 |
| 2 | 163 ÷ 21 = 7 remainder 16 |
| 3 | 21 ÷ 16 = 1 remainder 5 |
| 4 | 16 ÷ 5 = 3 remainder 1 |
| 5 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 13 and 199 | 2587 |
| 163 and 157 | 25591 |
| 100 and 16 | 400 |
| 120 and 199 | 23880 |
| 185 and 108 | 19980 |