Least Common Multiple (LCM) of 163 and 184
The least common multiple (LCM) of 163 and 184 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 163 and 184?
First, calculate the GCD of 163 and 184 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 163 ÷ 184 = 0 remainder 163 |
| 2 | 184 ÷ 163 = 1 remainder 21 |
| 3 | 163 ÷ 21 = 7 remainder 16 |
| 4 | 21 ÷ 16 = 1 remainder 5 |
| 5 | 16 ÷ 5 = 3 remainder 1 |
| 6 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 142 and 151 | 21442 |
| 168 and 187 | 31416 |
| 10 and 51 | 510 |
| 51 and 17 | 51 |
| 73 and 72 | 5256 |