Least Common Multiple (LCM) of 185 and 94
The least common multiple (LCM) of 185 and 94 is 17390.
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 185 and 94?
First, calculate the GCD of 185 and 94 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 185 ÷ 94 = 1 remainder 91 |
| 2 | 94 ÷ 91 = 1 remainder 3 |
| 3 | 91 ÷ 3 = 30 remainder 1 |
| 4 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 13 and 62 | 806 |
| 100 and 137 | 13700 |
| 68 and 88 | 1496 |
| 33 and 118 | 3894 |
| 118 and 65 | 7670 |