Least Common Multiple (LCM) of 94 and 85
The least common multiple (LCM) of 94 and 85 is 7990.
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 94 and 85?
First, calculate the GCD of 94 and 85 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 94 ÷ 85 = 1 remainder 9 |
| 2 | 85 ÷ 9 = 9 remainder 4 |
| 3 | 9 ÷ 4 = 2 remainder 1 |
| 4 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 54 and 41 | 2214 |
| 146 and 111 | 16206 |
| 71 and 63 | 4473 |
| 194 and 84 | 8148 |
| 139 and 59 | 8201 |