Least Common Multiple (LCM) of 116 and 96
The least common multiple (LCM) of 116 and 96 is 2784.
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 116 and 96?
First, calculate the GCD of 116 and 96 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 116 ÷ 96 = 1 remainder 20 |
| 2 | 96 ÷ 20 = 4 remainder 16 |
| 3 | 20 ÷ 16 = 1 remainder 4 |
| 4 | 16 ÷ 4 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 97 and 102 | 9894 |
| 106 and 144 | 7632 |
| 58 and 68 | 1972 |
| 182 and 105 | 2730 |
| 37 and 60 | 2220 |