Least Common Multiple (LCM) of 61 and 171
The least common multiple (LCM) of 61 and 171 is 10431.
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 61 and 171?
First, calculate the GCD of 61 and 171 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 61 ÷ 171 = 0 remainder 61 |
| 2 | 171 ÷ 61 = 2 remainder 49 |
| 3 | 61 ÷ 49 = 1 remainder 12 |
| 4 | 49 ÷ 12 = 4 remainder 1 |
| 5 | 12 ÷ 1 = 12 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 138 and 149 | 20562 |
| 115 and 177 | 20355 |
| 171 and 63 | 1197 |
| 80 and 132 | 2640 |
| 18 and 141 | 846 |