Least Common Multiple (LCM) of 104 and 163
The least common multiple (LCM) of 104 and 163 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 104 and 163?
First, calculate the GCD of 104 and 163 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 104 ÷ 163 = 0 remainder 104 |
| 2 | 163 ÷ 104 = 1 remainder 59 |
| 3 | 104 ÷ 59 = 1 remainder 45 |
| 4 | 59 ÷ 45 = 1 remainder 14 |
| 5 | 45 ÷ 14 = 3 remainder 3 |
| 6 | 14 ÷ 3 = 4 remainder 2 |
| 7 | 3 ÷ 2 = 1 remainder 1 |
| 8 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 151 and 111 | 16761 |
| 54 and 129 | 2322 |
| 29 and 83 | 2407 |
| 24 and 20 | 120 |
| 108 and 112 | 3024 |