Least Common Multiple (LCM) of 85 and 19
The least common multiple (LCM) of 85 and 19 is 1615.
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 19?
First, calculate the GCD of 85 and 19 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 85 ÷ 19 = 4 remainder 9 |
| 2 | 19 ÷ 9 = 2 remainder 1 |
| 3 | 9 ÷ 1 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 123 and 82 | 246 |
| 186 and 172 | 15996 |
| 176 and 120 | 2640 |
| 129 and 78 | 3354 |
| 16 and 192 | 192 |