Least Common Multiple (LCM) of 148 and 183
The least common multiple (LCM) of 148 and 183 is 27084.
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 148 and 183?
First, calculate the GCD of 148 and 183 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 148 ÷ 183 = 0 remainder 148 |
| 2 | 183 ÷ 148 = 1 remainder 35 |
| 3 | 148 ÷ 35 = 4 remainder 8 |
| 4 | 35 ÷ 8 = 4 remainder 3 |
| 5 | 8 ÷ 3 = 2 remainder 2 |
| 6 | 3 ÷ 2 = 1 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 198 and 57 | 3762 |
| 183 and 127 | 23241 |
| 126 and 75 | 3150 |
| 101 and 66 | 6666 |
| 45 and 36 | 180 |