Least Common Multiple (LCM) of 183 and 102
The least common multiple (LCM) of 183 and 102 is 6222.
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 102?
First, calculate the GCD of 183 and 102 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 183 ÷ 102 = 1 remainder 81 |
| 2 | 102 ÷ 81 = 1 remainder 21 |
| 3 | 81 ÷ 21 = 3 remainder 18 |
| 4 | 21 ÷ 18 = 1 remainder 3 |
| 5 | 18 ÷ 3 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 73 and 131 | 9563 |
| 22 and 35 | 770 |
| 161 and 142 | 22862 |
| 32 and 102 | 1632 |
| 85 and 42 | 3570 |