Least Common Multiple (LCM) of 183 and 162
The least common multiple (LCM) of 183 and 162 is 9882.
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 162?
First, calculate the GCD of 183 and 162 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 183 ÷ 162 = 1 remainder 21 |
| 2 | 162 ÷ 21 = 7 remainder 15 |
| 3 | 21 ÷ 15 = 1 remainder 6 |
| 4 | 15 ÷ 6 = 2 remainder 3 |
| 5 | 6 ÷ 3 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 87 and 97 | 8439 |
| 53 and 135 | 7155 |
| 81 and 187 | 15147 |
| 190 and 20 | 380 |
| 135 and 102 | 4590 |