Least Common Multiple (LCM) of 85 and 183
The least common multiple (LCM) of 85 and 183 is 15555.
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 85 and 183?
First, calculate the GCD of 85 and 183 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 85 ÷ 183 = 0 remainder 85 |
| 2 | 183 ÷ 85 = 2 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 |
|---|---|
| 66 and 30 | 330 |
| 15 and 140 | 420 |
| 18 and 155 | 2790 |
| 149 and 41 | 6109 |
| 141 and 157 | 22137 |