Least Common Multiple (LCM) of 46 and 199
The least common multiple (LCM) of 46 and 199 is 9154.
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 199?
First, calculate the GCD of 46 and 199 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 46 ÷ 199 = 0 remainder 46 |
| 2 | 199 ÷ 46 = 4 remainder 15 |
| 3 | 46 ÷ 15 = 3 remainder 1 |
| 4 | 15 ÷ 1 = 15 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 119 and 64 | 7616 |
| 149 and 127 | 18923 |
| 199 and 43 | 8557 |
| 31 and 155 | 155 |
| 31 and 167 | 5177 |