Least Common Multiple (LCM) of 183 and 99
The least common multiple (LCM) of 183 and 99 is 6039.
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 99?
First, calculate the GCD of 183 and 99 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 183 ÷ 99 = 1 remainder 84 |
| 2 | 99 ÷ 84 = 1 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 |
|---|---|
| 105 and 195 | 1365 |
| 172 and 56 | 2408 |
| 92 and 90 | 4140 |
| 40 and 125 | 1000 |
| 11 and 87 | 957 |