Least Common Multiple (LCM) of 34 and 166
The least common multiple (LCM) of 34 and 166 is 2822.
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 34 and 166?
First, calculate the GCD of 34 and 166 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 34 ÷ 166 = 0 remainder 34 |
| 2 | 166 ÷ 34 = 4 remainder 30 |
| 3 | 34 ÷ 30 = 1 remainder 4 |
| 4 | 30 ÷ 4 = 7 remainder 2 |
| 5 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 165 and 131 | 21615 |
| 185 and 177 | 32745 |
| 177 and 96 | 5664 |
| 104 and 187 | 19448 |
| 169 and 17 | 2873 |