Least Common Multiple (LCM) of 86 and 144
The least common multiple (LCM) of 86 and 144 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 86 and 144?
First, calculate the GCD of 86 and 144 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 86 ÷ 144 = 0 remainder 86 |
| 2 | 144 ÷ 86 = 1 remainder 58 |
| 3 | 86 ÷ 58 = 1 remainder 28 |
| 4 | 58 ÷ 28 = 2 remainder 2 |
| 5 | 28 ÷ 2 = 14 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 132 and 123 | 5412 |
| 14 and 15 | 210 |
| 179 and 76 | 13604 |
| 163 and 22 | 3586 |
| 128 and 11 | 1408 |