Least Common Multiple (LCM) of 46 and 166
The least common multiple (LCM) of 46 and 166 is 3818.
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 46 and 166?
First, calculate the GCD of 46 and 166 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 46 ÷ 166 = 0 remainder 46 |
| 2 | 166 ÷ 46 = 3 remainder 28 |
| 3 | 46 ÷ 28 = 1 remainder 18 |
| 4 | 28 ÷ 18 = 1 remainder 10 |
| 5 | 18 ÷ 10 = 1 remainder 8 |
| 6 | 10 ÷ 8 = 1 remainder 2 |
| 7 | 8 ÷ 2 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 129 and 86 | 258 |
| 18 and 49 | 882 |
| 25 and 108 | 2700 |
| 154 and 37 | 5698 |
| 106 and 156 | 8268 |