Least Common Multiple (LCM) of 96 and 181
The least common multiple (LCM) of 96 and 181 is 17376.
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 96 and 181?
First, calculate the GCD of 96 and 181 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 96 ÷ 181 = 0 remainder 96 |
| 2 | 181 ÷ 96 = 1 remainder 85 |
| 3 | 96 ÷ 85 = 1 remainder 11 |
| 4 | 85 ÷ 11 = 7 remainder 8 |
| 5 | 11 ÷ 8 = 1 remainder 3 |
| 6 | 8 ÷ 3 = 2 remainder 2 |
| 7 | 3 ÷ 2 = 1 remainder 1 |
| 8 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 178 and 67 | 11926 |
| 100 and 62 | 3100 |
| 65 and 125 | 1625 |
| 88 and 14 | 616 |
| 92 and 92 | 92 |