Least Common Multiple (LCM) of 71 and 92
The least common multiple (LCM) of 71 and 92 is 6532.
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 92?
First, calculate the GCD of 71 and 92 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 71 ÷ 92 = 0 remainder 71 |
| 2 | 92 ÷ 71 = 1 remainder 21 |
| 3 | 71 ÷ 21 = 3 remainder 8 |
| 4 | 21 ÷ 8 = 2 remainder 5 |
| 5 | 8 ÷ 5 = 1 remainder 3 |
| 6 | 5 ÷ 3 = 1 remainder 2 |
| 7 | 3 ÷ 2 = 1 remainder 1 |
| 8 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 65 and 165 | 2145 |
| 199 and 144 | 28656 |
| 14 and 119 | 238 |
| 193 and 178 | 34354 |
| 193 and 196 | 37828 |