Least Common Multiple (LCM) of 98 and 199
The least common multiple (LCM) of 98 and 199 is 19502.
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 98 and 199?
First, calculate the GCD of 98 and 199 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 98 ÷ 199 = 0 remainder 98 |
| 2 | 199 ÷ 98 = 2 remainder 3 |
| 3 | 98 ÷ 3 = 32 remainder 2 |
| 4 | 3 ÷ 2 = 1 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 173 and 183 | 31659 |
| 20 and 45 | 180 |
| 41 and 175 | 7175 |
| 144 and 67 | 9648 |
| 44 and 115 | 5060 |