Least Common Multiple (LCM) of 190 and 175
The least common multiple (LCM) of 190 and 175 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 190 and 175?
First, calculate the GCD of 190 and 175 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 190 ÷ 175 = 1 remainder 15 |
| 2 | 175 ÷ 15 = 11 remainder 10 |
| 3 | 15 ÷ 10 = 1 remainder 5 |
| 4 | 10 ÷ 5 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 106 and 12 | 636 |
| 159 and 192 | 10176 |
| 143 and 184 | 26312 |
| 159 and 91 | 14469 |
| 51 and 53 | 2703 |