Least Common Multiple (LCM) of 198 and 104
The least common multiple (LCM) of 198 and 104 is 10296.
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 198 and 104?
First, calculate the GCD of 198 and 104 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 198 ÷ 104 = 1 remainder 94 |
| 2 | 104 ÷ 94 = 1 remainder 10 |
| 3 | 94 ÷ 10 = 9 remainder 4 |
| 4 | 10 ÷ 4 = 2 remainder 2 |
| 5 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 184 and 145 | 26680 |
| 191 and 139 | 26549 |
| 167 and 26 | 4342 |
| 117 and 124 | 14508 |
| 46 and 136 | 3128 |