Least Common Multiple (LCM) of 85 and 47
The least common multiple (LCM) of 85 and 47 is 3995.
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 47?
First, calculate the GCD of 85 and 47 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 85 ÷ 47 = 1 remainder 38 |
| 2 | 47 ÷ 38 = 1 remainder 9 |
| 3 | 38 ÷ 9 = 4 remainder 2 |
| 4 | 9 ÷ 2 = 4 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 158 and 168 | 13272 |
| 137 and 176 | 24112 |
| 65 and 93 | 6045 |
| 92 and 191 | 17572 |
| 96 and 76 | 1824 |