Least Common Multiple (LCM) of 121 and 96
The least common multiple (LCM) of 121 and 96 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 121 and 96?
First, calculate the GCD of 121 and 96 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 121 ÷ 96 = 1 remainder 25 |
| 2 | 96 ÷ 25 = 3 remainder 21 |
| 3 | 25 ÷ 21 = 1 remainder 4 |
| 4 | 21 ÷ 4 = 5 remainder 1 |
| 5 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 56 and 58 | 1624 |
| 161 and 33 | 5313 |
| 54 and 154 | 4158 |
| 191 and 166 | 31706 |
| 55 and 42 | 2310 |