Least Common Multiple (LCM) of 199 and 93
The least common multiple (LCM) of 199 and 93 is 18507.
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 199 and 93?
First, calculate the GCD of 199 and 93 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 199 ÷ 93 = 2 remainder 13 |
| 2 | 93 ÷ 13 = 7 remainder 2 |
| 3 | 13 ÷ 2 = 6 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 161 and 96 | 15456 |
| 40 and 25 | 200 |
| 143 and 179 | 25597 |
| 139 and 109 | 15151 |
| 25 and 167 | 4175 |