Least Common Multiple (LCM) of 108 and 98
The least common multiple (LCM) of 108 and 98 is 5292.
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 108 and 98?
First, calculate the GCD of 108 and 98 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 108 ÷ 98 = 1 remainder 10 |
| 2 | 98 ÷ 10 = 9 remainder 8 |
| 3 | 10 ÷ 8 = 1 remainder 2 |
| 4 | 8 ÷ 2 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 15 and 198 | 990 |
| 11 and 128 | 1408 |
| 109 and 126 | 13734 |
| 89 and 197 | 17533 |
| 101 and 70 | 7070 |