Least Common Multiple (LCM) of 116 and 144
The least common multiple (LCM) of 116 and 144 is 4176.
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 144?
First, calculate the GCD of 116 and 144 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 116 ÷ 144 = 0 remainder 116 |
| 2 | 144 ÷ 116 = 1 remainder 28 |
| 3 | 116 ÷ 28 = 4 remainder 4 |
| 4 | 28 ÷ 4 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 175 and 29 | 5075 |
| 195 and 74 | 14430 |
| 54 and 160 | 4320 |
| 194 and 143 | 27742 |
| 97 and 24 | 2328 |