Least Common Multiple (LCM) of 144 and 183
The least common multiple (LCM) of 144 and 183 is 8784.
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 144 and 183?
First, calculate the GCD of 144 and 183 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 144 ÷ 183 = 0 remainder 144 |
| 2 | 183 ÷ 144 = 1 remainder 39 |
| 3 | 144 ÷ 39 = 3 remainder 27 |
| 4 | 39 ÷ 27 = 1 remainder 12 |
| 5 | 27 ÷ 12 = 2 remainder 3 |
| 6 | 12 ÷ 3 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 33 and 65 | 2145 |
| 116 and 108 | 3132 |
| 111 and 109 | 12099 |
| 78 and 146 | 5694 |
| 200 and 101 | 20200 |