Least Common Multiple (LCM) of 12 and 96
The least common multiple (LCM) of 12 and 96 is 96.
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 12 and 96?
First, calculate the GCD of 12 and 96 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 12 ÷ 96 = 0 remainder 12 |
| 2 | 96 ÷ 12 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 148 and 59 | 8732 |
| 65 and 110 | 1430 |
| 193 and 61 | 11773 |
| 173 and 27 | 4671 |
| 145 and 179 | 25955 |