Least Common Multiple (LCM) of 46 and 184
The least common multiple (LCM) of 46 and 184 is 184.
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 184?
First, calculate the GCD of 46 and 184 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 46 ÷ 184 = 0 remainder 46 |
| 2 | 184 ÷ 46 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 165 and 193 | 31845 |
| 105 and 81 | 2835 |
| 190 and 104 | 9880 |
| 174 and 167 | 29058 |
| 185 and 177 | 32745 |