Least Common Multiple (LCM) of 175 and 190
The least common multiple (LCM) of 175 and 190 is 6650.
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 175 and 190?
First, calculate the GCD of 175 and 190 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 175 ÷ 190 = 0 remainder 175 |
| 2 | 190 ÷ 175 = 1 remainder 15 |
| 3 | 175 ÷ 15 = 11 remainder 10 |
| 4 | 15 ÷ 10 = 1 remainder 5 |
| 5 | 10 ÷ 5 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 126 and 149 | 18774 |
| 115 and 51 | 5865 |
| 68 and 53 | 3604 |
| 18 and 179 | 3222 |
| 24 and 75 | 600 |