Least Common Multiple (LCM) of 92 and 163
The least common multiple (LCM) of 92 and 163 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 92 and 163?
First, calculate the GCD of 92 and 163 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 92 ÷ 163 = 0 remainder 92 |
| 2 | 163 ÷ 92 = 1 remainder 71 |
| 3 | 92 ÷ 71 = 1 remainder 21 |
| 4 | 71 ÷ 21 = 3 remainder 8 |
| 5 | 21 ÷ 8 = 2 remainder 5 |
| 6 | 8 ÷ 5 = 1 remainder 3 |
| 7 | 5 ÷ 3 = 1 remainder 2 |
| 8 | 3 ÷ 2 = 1 remainder 1 |
| 9 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 115 and 47 | 5405 |
| 119 and 107 | 12733 |
| 186 and 142 | 13206 |
| 83 and 95 | 7885 |
| 168 and 19 | 3192 |