Least Common Multiple (LCM) of 144 and 116
The least common multiple (LCM) of 144 and 116 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 144 and 116?
First, calculate the GCD of 144 and 116 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 144 ÷ 116 = 1 remainder 28 |
| 2 | 116 ÷ 28 = 4 remainder 4 |
| 3 | 28 ÷ 4 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 109 and 67 | 7303 |
| 132 and 200 | 6600 |
| 163 and 107 | 17441 |
| 78 and 78 | 78 |
| 19 and 12 | 228 |