Least Common Multiple (LCM) of 145 and 183
The least common multiple (LCM) of 145 and 183 is 26535.
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 145 and 183?
First, calculate the GCD of 145 and 183 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 145 ÷ 183 = 0 remainder 145 |
| 2 | 183 ÷ 145 = 1 remainder 38 |
| 3 | 145 ÷ 38 = 3 remainder 31 |
| 4 | 38 ÷ 31 = 1 remainder 7 |
| 5 | 31 ÷ 7 = 4 remainder 3 |
| 6 | 7 ÷ 3 = 2 remainder 1 |
| 7 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 179 and 193 | 34547 |
| 148 and 157 | 23236 |
| 195 and 175 | 6825 |
| 10 and 177 | 1770 |
| 27 and 20 | 540 |