Least Common Multiple (LCM) of 86 and 155
The least common multiple (LCM) of 86 and 155 is 13330.
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 155?
First, calculate the GCD of 86 and 155 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 86 ÷ 155 = 0 remainder 86 |
| 2 | 155 ÷ 86 = 1 remainder 69 |
| 3 | 86 ÷ 69 = 1 remainder 17 |
| 4 | 69 ÷ 17 = 4 remainder 1 |
| 5 | 17 ÷ 1 = 17 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 89 and 170 | 15130 |
| 103 and 181 | 18643 |
| 16 and 82 | 656 |
| 78 and 120 | 1560 |
| 58 and 198 | 5742 |