Least Common Multiple (LCM) of 146 and 185
The least common multiple (LCM) of 146 and 185 is 27010.
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 185?
First, calculate the GCD of 146 and 185 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 146 ÷ 185 = 0 remainder 146 |
| 2 | 185 ÷ 146 = 1 remainder 39 |
| 3 | 146 ÷ 39 = 3 remainder 29 |
| 4 | 39 ÷ 29 = 1 remainder 10 |
| 5 | 29 ÷ 10 = 2 remainder 9 |
| 6 | 10 ÷ 9 = 1 remainder 1 |
| 7 | 9 ÷ 1 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 12 and 146 | 876 |
| 36 and 65 | 2340 |
| 183 and 188 | 34404 |
| 86 and 52 | 2236 |
| 48 and 97 | 4656 |