Least Common Multiple (LCM) of 171 and 116
The least common multiple (LCM) of 171 and 116 is 19836.
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 116?
First, calculate the GCD of 171 and 116 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 171 ÷ 116 = 1 remainder 55 |
| 2 | 116 ÷ 55 = 2 remainder 6 |
| 3 | 55 ÷ 6 = 9 remainder 1 |
| 4 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 135 and 25 | 675 |
| 53 and 184 | 9752 |
| 106 and 199 | 21094 |
| 118 and 95 | 11210 |
| 46 and 131 | 6026 |