Least Common Multiple (LCM) of 171 and 175
The least common multiple (LCM) of 171 and 175 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 171 and 175?
First, calculate the GCD of 171 and 175 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 171 ÷ 175 = 0 remainder 171 |
| 2 | 175 ÷ 171 = 1 remainder 4 |
| 3 | 171 ÷ 4 = 42 remainder 3 |
| 4 | 4 ÷ 3 = 1 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 18 and 130 | 1170 |
| 181 and 80 | 14480 |
| 193 and 88 | 16984 |
| 173 and 31 | 5363 |
| 67 and 99 | 6633 |