Least Common Multiple (LCM) of 175 and 171
The least common multiple (LCM) of 175 and 171 is 29925.
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 175 and 171?
First, calculate the GCD of 175 and 171 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 175 ÷ 171 = 1 remainder 4 |
| 2 | 171 ÷ 4 = 42 remainder 3 |
| 3 | 4 ÷ 3 = 1 remainder 1 |
| 4 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 60 and 92 | 1380 |
| 86 and 104 | 4472 |
| 112 and 10 | 560 |
| 12 and 55 | 660 |
| 148 and 147 | 21756 |