Least Common Multiple (LCM) of 146 and 183
The least common multiple (LCM) of 146 and 183 is 26718.
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 146 and 183?
First, calculate the GCD of 146 and 183 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 146 ÷ 183 = 0 remainder 146 |
| 2 | 183 ÷ 146 = 1 remainder 37 |
| 3 | 146 ÷ 37 = 3 remainder 35 |
| 4 | 37 ÷ 35 = 1 remainder 2 |
| 5 | 35 ÷ 2 = 17 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 172 and 14 | 1204 |
| 194 and 14 | 1358 |
| 151 and 25 | 3775 |
| 115 and 18 | 2070 |
| 164 and 179 | 29356 |