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 |
|---|---|
| 133 and 182 | 3458 |
| 183 and 148 | 27084 |
| 82 and 144 | 5904 |
| 91 and 126 | 1638 |
| 152 and 130 | 9880 |