Least Common Multiple (LCM) of 146 and 171
The least common multiple (LCM) of 146 and 171 is 24966.
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 171?
First, calculate the GCD of 146 and 171 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 146 ÷ 171 = 0 remainder 146 |
| 2 | 171 ÷ 146 = 1 remainder 25 |
| 3 | 146 ÷ 25 = 5 remainder 21 |
| 4 | 25 ÷ 21 = 1 remainder 4 |
| 5 | 21 ÷ 4 = 5 remainder 1 |
| 6 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 13 and 190 | 2470 |
| 170 and 41 | 6970 |
| 175 and 53 | 9275 |
| 177 and 79 | 13983 |
| 200 and 77 | 15400 |