Least Common Multiple (LCM) of 71 and 181
The least common multiple (LCM) of 71 and 181 is 12851.
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 181?
First, calculate the GCD of 71 and 181 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 71 ÷ 181 = 0 remainder 71 |
| 2 | 181 ÷ 71 = 2 remainder 39 |
| 3 | 71 ÷ 39 = 1 remainder 32 |
| 4 | 39 ÷ 32 = 1 remainder 7 |
| 5 | 32 ÷ 7 = 4 remainder 4 |
| 6 | 7 ÷ 4 = 1 remainder 3 |
| 7 | 4 ÷ 3 = 1 remainder 1 |
| 8 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 176 and 30 | 2640 |
| 200 and 86 | 8600 |
| 123 and 87 | 3567 |
| 190 and 54 | 5130 |
| 49 and 141 | 6909 |