Least Common Multiple (LCM) of 192 and 98
The least common multiple (LCM) of 192 and 98 is 9408.
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 192 and 98?
First, calculate the GCD of 192 and 98 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 192 ÷ 98 = 1 remainder 94 |
| 2 | 98 ÷ 94 = 1 remainder 4 |
| 3 | 94 ÷ 4 = 23 remainder 2 |
| 4 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 184 and 82 | 7544 |
| 198 and 65 | 12870 |
| 51 and 191 | 9741 |
| 182 and 177 | 32214 |
| 118 and 73 | 8614 |