Least Common Multiple (LCM) of 86 and 89
The least common multiple (LCM) of 86 and 89 is 7654.
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 89?
First, calculate the GCD of 86 and 89 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 86 ÷ 89 = 0 remainder 86 |
| 2 | 89 ÷ 86 = 1 remainder 3 |
| 3 | 86 ÷ 3 = 28 remainder 2 |
| 4 | 3 ÷ 2 = 1 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 135 and 35 | 945 |
| 165 and 37 | 6105 |
| 144 and 138 | 3312 |
| 192 and 137 | 26304 |
| 190 and 45 | 1710 |