Least Common Multiple (LCM) of 110 and 166
The least common multiple (LCM) of 110 and 166 is 9130.
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 110 and 166?
First, calculate the GCD of 110 and 166 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 110 ÷ 166 = 0 remainder 110 |
| 2 | 166 ÷ 110 = 1 remainder 56 |
| 3 | 110 ÷ 56 = 1 remainder 54 |
| 4 | 56 ÷ 54 = 1 remainder 2 |
| 5 | 54 ÷ 2 = 27 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 142 and 158 | 11218 |
| 195 and 102 | 6630 |
| 29 and 165 | 4785 |
| 18 and 113 | 2034 |
| 75 and 155 | 2325 |