Least Common Multiple (LCM) of 171 and 41
The least common multiple (LCM) of 171 and 41 is 7011.
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 41?
First, calculate the GCD of 171 and 41 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 171 ÷ 41 = 4 remainder 7 |
| 2 | 41 ÷ 7 = 5 remainder 6 |
| 3 | 7 ÷ 6 = 1 remainder 1 |
| 4 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 197 and 157 | 30929 |
| 113 and 108 | 12204 |
| 21 and 191 | 4011 |
| 53 and 96 | 5088 |
| 122 and 174 | 10614 |