Least Common Multiple (LCM) of 89 and 931
The least common multiple (LCM) of 89 and 931 is 82859.
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 931?
First, calculate the GCD of 89 and 931 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 89 ÷ 931 = 0 remainder 89 |
| 2 | 931 ÷ 89 = 10 remainder 41 |
| 3 | 89 ÷ 41 = 2 remainder 7 |
| 4 | 41 ÷ 7 = 5 remainder 6 |
| 5 | 7 ÷ 6 = 1 remainder 1 |
| 6 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 11 and 115 | 1265 |
| 93 and 116 | 10788 |
| 153 and 34 | 306 |
| 131 and 170 | 22270 |
| 50 and 93 | 4650 |