Least Common Multiple (LCM) of 104 and 166
The least common multiple (LCM) of 104 and 166 is 8632.
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 166?
First, calculate the GCD of 104 and 166 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 104 ÷ 166 = 0 remainder 104 |
| 2 | 166 ÷ 104 = 1 remainder 62 |
| 3 | 104 ÷ 62 = 1 remainder 42 |
| 4 | 62 ÷ 42 = 1 remainder 20 |
| 5 | 42 ÷ 20 = 2 remainder 2 |
| 6 | 20 ÷ 2 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 110 and 149 | 16390 |
| 155 and 55 | 1705 |
| 192 and 154 | 14784 |
| 95 and 119 | 11305 |
| 105 and 98 | 1470 |