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 |
|---|---|
| 102 and 81 | 2754 |
| 165 and 88 | 1320 |
| 142 and 75 | 10650 |
| 118 and 125 | 14750 |
| 114 and 67 | 7638 |