Least Common Multiple (LCM) of 89 and 86
The least common multiple (LCM) of 89 and 86 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 89 and 86?
First, calculate the GCD of 89 and 86 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 89 ÷ 86 = 1 remainder 3 |
| 2 | 86 ÷ 3 = 28 remainder 2 |
| 3 | 3 ÷ 2 = 1 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 181 and 104 | 18824 |
| 155 and 182 | 28210 |
| 155 and 28 | 4340 |
| 173 and 114 | 19722 |
| 124 and 109 | 13516 |