Least Common Multiple (LCM) of 89 and 94
The least common multiple (LCM) of 89 and 94 is 8366.
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 94?
First, calculate the GCD of 89 and 94 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 89 ÷ 94 = 0 remainder 89 |
| 2 | 94 ÷ 89 = 1 remainder 5 |
| 3 | 89 ÷ 5 = 17 remainder 4 |
| 4 | 5 ÷ 4 = 1 remainder 1 |
| 5 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 188 and 18 | 1692 |
| 130 and 106 | 6890 |
| 145 and 105 | 3045 |
| 185 and 22 | 4070 |
| 153 and 65 | 9945 |