Least Common Multiple (LCM) of 71 and 184
The least common multiple (LCM) of 71 and 184 is 13064.
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 71 and 184?
First, calculate the GCD of 71 and 184 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 71 ÷ 184 = 0 remainder 71 |
| 2 | 184 ÷ 71 = 2 remainder 42 |
| 3 | 71 ÷ 42 = 1 remainder 29 |
| 4 | 42 ÷ 29 = 1 remainder 13 |
| 5 | 29 ÷ 13 = 2 remainder 3 |
| 6 | 13 ÷ 3 = 4 remainder 1 |
| 7 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 26 and 59 | 1534 |
| 165 and 44 | 660 |
| 177 and 41 | 7257 |
| 67 and 91 | 6097 |
| 119 and 198 | 23562 |