Least Common Multiple (LCM) of 185 and 174
The least common multiple (LCM) of 185 and 174 is 32190.
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 174?
First, calculate the GCD of 185 and 174 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 185 ÷ 174 = 1 remainder 11 |
| 2 | 174 ÷ 11 = 15 remainder 9 |
| 3 | 11 ÷ 9 = 1 remainder 2 |
| 4 | 9 ÷ 2 = 4 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 71 and 54 | 3834 |
| 33 and 63 | 693 |
| 170 and 184 | 15640 |
| 193 and 146 | 28178 |
| 53 and 85 | 4505 |