Least Common Multiple (LCM) of 163 and 104
The least common multiple (LCM) of 163 and 104 is 16952.
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 104?
First, calculate the GCD of 163 and 104 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 163 ÷ 104 = 1 remainder 59 |
| 2 | 104 ÷ 59 = 1 remainder 45 |
| 3 | 59 ÷ 45 = 1 remainder 14 |
| 4 | 45 ÷ 14 = 3 remainder 3 |
| 5 | 14 ÷ 3 = 4 remainder 2 |
| 6 | 3 ÷ 2 = 1 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 88 and 182 | 8008 |
| 103 and 89 | 9167 |
| 17 and 27 | 459 |
| 196 and 45 | 8820 |
| 160 and 78 | 6240 |