Least Common Multiple (LCM) of 85 and 166
The least common multiple (LCM) of 85 and 166 is 14110.
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 85 and 166?
First, calculate the GCD of 85 and 166 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 85 ÷ 166 = 0 remainder 85 |
| 2 | 166 ÷ 85 = 1 remainder 81 |
| 3 | 85 ÷ 81 = 1 remainder 4 |
| 4 | 81 ÷ 4 = 20 remainder 1 |
| 5 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 110 and 16 | 880 |
| 123 and 159 | 6519 |
| 175 and 74 | 12950 |
| 52 and 26 | 52 |
| 198 and 59 | 11682 |