Least Common Multiple (LCM) of 150 and 183
The least common multiple (LCM) of 150 and 183 is 9150.
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 150 and 183?
First, calculate the GCD of 150 and 183 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 150 ÷ 183 = 0 remainder 150 |
| 2 | 183 ÷ 150 = 1 remainder 33 |
| 3 | 150 ÷ 33 = 4 remainder 18 |
| 4 | 33 ÷ 18 = 1 remainder 15 |
| 5 | 18 ÷ 15 = 1 remainder 3 |
| 6 | 15 ÷ 3 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 31 and 48 | 1488 |
| 198 and 41 | 8118 |
| 144 and 147 | 7056 |
| 88 and 187 | 1496 |
| 174 and 66 | 1914 |