Least Common Multiple (LCM) of 199 and 92
The least common multiple (LCM) of 199 and 92 is 18308.
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 92?
First, calculate the GCD of 199 and 92 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 199 ÷ 92 = 2 remainder 15 |
| 2 | 92 ÷ 15 = 6 remainder 2 |
| 3 | 15 ÷ 2 = 7 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 15 and 46 | 690 |
| 116 and 31 | 3596 |
| 118 and 176 | 10384 |
| 145 and 96 | 13920 |
| 112 and 104 | 1456 |