Least Common Multiple (LCM) of 144 and 86
The least common multiple (LCM) of 144 and 86 is 6192.
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 86?
First, calculate the GCD of 144 and 86 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 144 ÷ 86 = 1 remainder 58 |
| 2 | 86 ÷ 58 = 1 remainder 28 |
| 3 | 58 ÷ 28 = 2 remainder 2 |
| 4 | 28 ÷ 2 = 14 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 57 and 119 | 6783 |
| 100 and 58 | 2900 |
| 170 and 60 | 1020 |
| 82 and 19 | 1558 |
| 30 and 200 | 600 |