Least Common Multiple (LCM) of 81 and 98
The least common multiple (LCM) of 81 and 98 is 7938.
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 81 and 98?
First, calculate the GCD of 81 and 98 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 81 ÷ 98 = 0 remainder 81 |
| 2 | 98 ÷ 81 = 1 remainder 17 |
| 3 | 81 ÷ 17 = 4 remainder 13 |
| 4 | 17 ÷ 13 = 1 remainder 4 |
| 5 | 13 ÷ 4 = 3 remainder 1 |
| 6 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 140 and 126 | 1260 |
| 18 and 139 | 2502 |
| 139 and 144 | 20016 |
| 81 and 194 | 15714 |
| 118 and 110 | 6490 |