Least Common Multiple (LCM) of 46 and 185
The least common multiple (LCM) of 46 and 185 is 8510.
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 185?
First, calculate the GCD of 46 and 185 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 46 ÷ 185 = 0 remainder 46 |
| 2 | 185 ÷ 46 = 4 remainder 1 |
| 3 | 46 ÷ 1 = 46 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 125 and 34 | 4250 |
| 191 and 84 | 16044 |
| 101 and 145 | 14645 |
| 195 and 157 | 30615 |
| 183 and 77 | 14091 |