Least Common Multiple (LCM) of 184 and 98
The least common multiple (LCM) of 184 and 98 is 9016.
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 184 and 98?
First, calculate the GCD of 184 and 98 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 184 ÷ 98 = 1 remainder 86 |
| 2 | 98 ÷ 86 = 1 remainder 12 |
| 3 | 86 ÷ 12 = 7 remainder 2 |
| 4 | 12 ÷ 2 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 149 and 185 | 27565 |
| 126 and 14 | 126 |
| 65 and 19 | 1235 |
| 92 and 125 | 11500 |
| 13 and 23 | 299 |