Least Common Multiple (LCM) of 171 and 184
The least common multiple (LCM) of 171 and 184 is 31464.
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 184?
First, calculate the GCD of 171 and 184 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 171 ÷ 184 = 0 remainder 171 |
| 2 | 184 ÷ 171 = 1 remainder 13 |
| 3 | 171 ÷ 13 = 13 remainder 2 |
| 4 | 13 ÷ 2 = 6 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 47 and 16 | 752 |
| 34 and 130 | 2210 |
| 31 and 45 | 1395 |
| 180 and 113 | 20340 |
| 140 and 111 | 15540 |