Least Common Multiple (LCM) of 98 and 108
The least common multiple (LCM) of 98 and 108 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 98 and 108?
First, calculate the GCD of 98 and 108 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 98 ÷ 108 = 0 remainder 98 |
| 2 | 108 ÷ 98 = 1 remainder 10 |
| 3 | 98 ÷ 10 = 9 remainder 8 |
| 4 | 10 ÷ 8 = 1 remainder 2 |
| 5 | 8 ÷ 2 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 60 and 184 | 2760 |
| 59 and 156 | 9204 |
| 102 and 167 | 17034 |
| 144 and 80 | 720 |
| 142 and 42 | 2982 |