Least Common Multiple (LCM) of 166 and 44
The least common multiple (LCM) of 166 and 44 is 3652.
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 166 and 44?
First, calculate the GCD of 166 and 44 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 166 ÷ 44 = 3 remainder 34 |
| 2 | 44 ÷ 34 = 1 remainder 10 |
| 3 | 34 ÷ 10 = 3 remainder 4 |
| 4 | 10 ÷ 4 = 2 remainder 2 |
| 5 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 96 and 114 | 1824 |
| 128 and 158 | 10112 |
| 155 and 67 | 10385 |
| 177 and 28 | 4956 |
| 103 and 20 | 2060 |