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 |
|---|---|
| 107 and 70 | 7490 |
| 130 and 127 | 16510 |
| 102 and 86 | 4386 |
| 17 and 50 | 850 |
| 33 and 23 | 759 |