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 |
|---|---|
| 15 and 164 | 2460 |
| 101 and 91 | 9191 |
| 128 and 105 | 13440 |
| 90 and 190 | 1710 |
| 152 and 150 | 11400 |