Least Common Multiple (LCM) of 163 and 92
The least common multiple (LCM) of 163 and 92 is 14996.
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 92?
First, calculate the GCD of 163 and 92 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 163 ÷ 92 = 1 remainder 71 |
| 2 | 92 ÷ 71 = 1 remainder 21 |
| 3 | 71 ÷ 21 = 3 remainder 8 |
| 4 | 21 ÷ 8 = 2 remainder 5 |
| 5 | 8 ÷ 5 = 1 remainder 3 |
| 6 | 5 ÷ 3 = 1 remainder 2 |
| 7 | 3 ÷ 2 = 1 remainder 1 |
| 8 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 200 and 184 | 4600 |
| 178 and 13 | 2314 |
| 89 and 39 | 3471 |
| 189 and 44 | 8316 |
| 81 and 160 | 12960 |