Least Common Multiple (LCM) of 98 and 116
The least common multiple (LCM) of 98 and 116 is 5684.
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 116?
First, calculate the GCD of 98 and 116 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 98 ÷ 116 = 0 remainder 98 |
| 2 | 116 ÷ 98 = 1 remainder 18 |
| 3 | 98 ÷ 18 = 5 remainder 8 |
| 4 | 18 ÷ 8 = 2 remainder 2 |
| 5 | 8 ÷ 2 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 50 and 188 | 4700 |
| 12 and 33 | 132 |
| 189 and 39 | 2457 |
| 68 and 176 | 2992 |
| 107 and 164 | 17548 |