Least Common Multiple (LCM) of 183 and 98
The least common multiple (LCM) of 183 and 98 is 17934.
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 183 and 98?
First, calculate the GCD of 183 and 98 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 183 ÷ 98 = 1 remainder 85 |
| 2 | 98 ÷ 85 = 1 remainder 13 |
| 3 | 85 ÷ 13 = 6 remainder 7 |
| 4 | 13 ÷ 7 = 1 remainder 6 |
| 5 | 7 ÷ 6 = 1 remainder 1 |
| 6 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 104 and 178 | 9256 |
| 87 and 47 | 4089 |
| 166 and 127 | 21082 |
| 13 and 113 | 1469 |
| 96 and 105 | 3360 |