Least Common Multiple (LCM) of 84 and 183
The least common multiple (LCM) of 84 and 183 is 5124.
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 84 and 183?
First, calculate the GCD of 84 and 183 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 84 ÷ 183 = 0 remainder 84 |
| 2 | 183 ÷ 84 = 2 remainder 15 |
| 3 | 84 ÷ 15 = 5 remainder 9 |
| 4 | 15 ÷ 9 = 1 remainder 6 |
| 5 | 9 ÷ 6 = 1 remainder 3 |
| 6 | 6 ÷ 3 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 193 and 159 | 30687 |
| 170 and 197 | 33490 |
| 133 and 14 | 266 |
| 130 and 92 | 5980 |
| 140 and 47 | 6580 |