Least Common Multiple (LCM) of 182 and 166
The least common multiple (LCM) of 182 and 166 is 15106.
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 182 and 166?
First, calculate the GCD of 182 and 166 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 182 ÷ 166 = 1 remainder 16 |
| 2 | 166 ÷ 16 = 10 remainder 6 |
| 3 | 16 ÷ 6 = 2 remainder 4 |
| 4 | 6 ÷ 4 = 1 remainder 2 |
| 5 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 105 and 34 | 3570 |
| 179 and 93 | 16647 |
| 112 and 91 | 1456 |
| 149 and 115 | 17135 |
| 141 and 159 | 7473 |