Least Common Multiple (LCM) of 85 and 51
The least common multiple (LCM) of 85 and 51 is 255.
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 51?
First, calculate the GCD of 85 and 51 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 85 ÷ 51 = 1 remainder 34 |
| 2 | 51 ÷ 34 = 1 remainder 17 |
| 3 | 34 ÷ 17 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 166 and 86 | 7138 |
| 178 and 78 | 6942 |
| 165 and 107 | 17655 |
| 113 and 69 | 7797 |
| 28 and 36 | 252 |