Least Common Multiple (LCM) of 184 and 171
The least common multiple (LCM) of 184 and 171 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 184 and 171?
First, calculate the GCD of 184 and 171 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 184 ÷ 171 = 1 remainder 13 |
| 2 | 171 ÷ 13 = 13 remainder 2 |
| 3 | 13 ÷ 2 = 6 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 120 and 44 | 1320 |
| 105 and 111 | 3885 |
| 77 and 117 | 9009 |
| 185 and 112 | 20720 |
| 125 and 198 | 24750 |