Least Common Multiple (LCM) of 96 and 121
The least common multiple (LCM) of 96 and 121 is 11616.
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 121?
First, calculate the GCD of 96 and 121 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 96 ÷ 121 = 0 remainder 96 |
| 2 | 121 ÷ 96 = 1 remainder 25 |
| 3 | 96 ÷ 25 = 3 remainder 21 |
| 4 | 25 ÷ 21 = 1 remainder 4 |
| 5 | 21 ÷ 4 = 5 remainder 1 |
| 6 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 146 and 37 | 5402 |
| 159 and 192 | 10176 |
| 198 and 169 | 33462 |
| 78 and 107 | 8346 |
| 171 and 93 | 5301 |