Least Common Multiple (LCM) of 171 and 141
The least common multiple (LCM) of 171 and 141 is 8037.
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 141?
First, calculate the GCD of 171 and 141 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 171 ÷ 141 = 1 remainder 30 |
| 2 | 141 ÷ 30 = 4 remainder 21 |
| 3 | 30 ÷ 21 = 1 remainder 9 |
| 4 | 21 ÷ 9 = 2 remainder 3 |
| 5 | 9 ÷ 3 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 63 and 180 | 1260 |
| 159 and 78 | 4134 |
| 28 and 150 | 2100 |
| 26 and 190 | 2470 |
| 134 and 40 | 2680 |