Least Common Multiple (LCM) of 162 and 183
The least common multiple (LCM) of 162 and 183 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 162 and 183?
First, calculate the GCD of 162 and 183 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 162 ÷ 183 = 0 remainder 162 |
| 2 | 183 ÷ 162 = 1 remainder 21 |
| 3 | 162 ÷ 21 = 7 remainder 15 |
| 4 | 21 ÷ 15 = 1 remainder 6 |
| 5 | 15 ÷ 6 = 2 remainder 3 |
| 6 | 6 ÷ 3 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 160 and 184 | 3680 |
| 147 and 51 | 2499 |
| 161 and 55 | 8855 |
| 72 and 50 | 1800 |
| 40 and 54 | 1080 |