Least Common Multiple (LCM) of 171 and 190
The least common multiple (LCM) of 171 and 190 is 1710.
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 190?
First, calculate the GCD of 171 and 190 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 171 ÷ 190 = 0 remainder 171 |
| 2 | 190 ÷ 171 = 1 remainder 19 |
| 3 | 171 ÷ 19 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 129 and 129 | 129 |
| 100 and 194 | 9700 |
| 186 and 149 | 27714 |
| 178 and 23 | 4094 |
| 51 and 117 | 1989 |