Least Common Multiple (LCM) of 175 and 191
The least common multiple (LCM) of 175 and 191 is 33425.
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 191?
First, calculate the GCD of 175 and 191 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 175 ÷ 191 = 0 remainder 175 |
| 2 | 191 ÷ 175 = 1 remainder 16 |
| 3 | 175 ÷ 16 = 10 remainder 15 |
| 4 | 16 ÷ 15 = 1 remainder 1 |
| 5 | 15 ÷ 1 = 15 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 112 and 55 | 6160 |
| 182 and 199 | 36218 |
| 197 and 103 | 20291 |
| 52 and 141 | 7332 |
| 72 and 47 | 3384 |