Least Common Multiple (LCM) of 85 and 82
The least common multiple (LCM) of 85 and 82 is 6970.
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 85 and 82?
First, calculate the GCD of 85 and 82 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 85 ÷ 82 = 1 remainder 3 |
| 2 | 82 ÷ 3 = 27 remainder 1 |
| 3 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 152 and 177 | 26904 |
| 152 and 137 | 20824 |
| 182 and 145 | 26390 |
| 148 and 79 | 11692 |
| 87 and 74 | 6438 |