Least Common Multiple (LCM) of 185 and 17
The least common multiple (LCM) of 185 and 17 is 3145.
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 17?
First, calculate the GCD of 185 and 17 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 185 ÷ 17 = 10 remainder 15 |
| 2 | 17 ÷ 15 = 1 remainder 2 |
| 3 | 15 ÷ 2 = 7 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 166 and 13 | 2158 |
| 137 and 183 | 25071 |
| 88 and 129 | 11352 |
| 50 and 78 | 1950 |
| 121 and 76 | 9196 |