Least Common Multiple (LCM) of 171 and 146
The least common multiple (LCM) of 171 and 146 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 171 and 146?
First, calculate the GCD of 171 and 146 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 171 ÷ 146 = 1 remainder 25 |
| 2 | 146 ÷ 25 = 5 remainder 21 |
| 3 | 25 ÷ 21 = 1 remainder 4 |
| 4 | 21 ÷ 4 = 5 remainder 1 |
| 5 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 49 and 29 | 1421 |
| 77 and 88 | 616 |
| 11 and 77 | 77 |
| 51 and 112 | 5712 |
| 179 and 162 | 28998 |