Least Common Multiple (LCM) of 71 and 176
The least common multiple (LCM) of 71 and 176 is 12496.
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 176?
First, calculate the GCD of 71 and 176 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 71 ÷ 176 = 0 remainder 71 |
| 2 | 176 ÷ 71 = 2 remainder 34 |
| 3 | 71 ÷ 34 = 2 remainder 3 |
| 4 | 34 ÷ 3 = 11 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 167 and 149 | 24883 |
| 183 and 30 | 1830 |
| 50 and 12 | 300 |
| 64 and 52 | 832 |
| 110 and 36 | 1980 |