Least Common Multiple (LCM) of 98 and 181
The least common multiple (LCM) of 98 and 181 is 17738.
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 181?
First, calculate the GCD of 98 and 181 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 98 ÷ 181 = 0 remainder 98 |
| 2 | 181 ÷ 98 = 1 remainder 83 |
| 3 | 98 ÷ 83 = 1 remainder 15 |
| 4 | 83 ÷ 15 = 5 remainder 8 |
| 5 | 15 ÷ 8 = 1 remainder 7 |
| 6 | 8 ÷ 7 = 1 remainder 1 |
| 7 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 186 and 14 | 1302 |
| 16 and 78 | 624 |
| 49 and 87 | 4263 |
| 55 and 176 | 880 |
| 167 and 125 | 20875 |