Least Common Multiple (LCM) of 110 and 96
The least common multiple (LCM) of 110 and 96 is 5280.
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 110 and 96?
First, calculate the GCD of 110 and 96 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 110 ÷ 96 = 1 remainder 14 |
| 2 | 96 ÷ 14 = 6 remainder 12 |
| 3 | 14 ÷ 12 = 1 remainder 2 |
| 4 | 12 ÷ 2 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 156 and 143 | 1716 |
| 166 and 92 | 7636 |
| 71 and 47 | 3337 |
| 192 and 42 | 1344 |
| 137 and 78 | 10686 |