Least Common Multiple (LCM) of 171 and 186
The least common multiple (LCM) of 171 and 186 is 10602.
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 186?
First, calculate the GCD of 171 and 186 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 171 ÷ 186 = 0 remainder 171 |
| 2 | 186 ÷ 171 = 1 remainder 15 |
| 3 | 171 ÷ 15 = 11 remainder 6 |
| 4 | 15 ÷ 6 = 2 remainder 3 |
| 5 | 6 ÷ 3 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 143 and 119 | 17017 |
| 144 and 116 | 4176 |
| 175 and 16 | 2800 |
| 152 and 83 | 12616 |
| 59 and 106 | 6254 |