Least Common Multiple (LCM) of 171 and 181
The least common multiple (LCM) of 171 and 181 is 30951.
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 181?
First, calculate the GCD of 171 and 181 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 171 ÷ 181 = 0 remainder 171 |
| 2 | 181 ÷ 171 = 1 remainder 10 |
| 3 | 171 ÷ 10 = 17 remainder 1 |
| 4 | 10 ÷ 1 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 116 and 118 | 6844 |
| 132 and 128 | 4224 |
| 41 and 133 | 5453 |
| 178 and 129 | 22962 |
| 93 and 76 | 7068 |