Least Common Multiple (LCM) of 98 and 131
The least common multiple (LCM) of 98 and 131 is 12838.
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 131?
First, calculate the GCD of 98 and 131 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 98 ÷ 131 = 0 remainder 98 |
| 2 | 131 ÷ 98 = 1 remainder 33 |
| 3 | 98 ÷ 33 = 2 remainder 32 |
| 4 | 33 ÷ 32 = 1 remainder 1 |
| 5 | 32 ÷ 1 = 32 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 152 and 113 | 17176 |
| 195 and 148 | 28860 |
| 197 and 125 | 24625 |
| 92 and 100 | 2300 |
| 159 and 159 | 159 |