Least Common Multiple (LCM) of 89 and 95
The least common multiple (LCM) of 89 and 95 is 8455.
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 95?
First, calculate the GCD of 89 and 95 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 89 ÷ 95 = 0 remainder 89 |
| 2 | 95 ÷ 89 = 1 remainder 6 |
| 3 | 89 ÷ 6 = 14 remainder 5 |
| 4 | 6 ÷ 5 = 1 remainder 1 |
| 5 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 144 and 75 | 3600 |
| 14 and 108 | 756 |
| 69 and 109 | 7521 |
| 118 and 108 | 6372 |
| 110 and 158 | 8690 |